That and the whole fanservice angle is being used both to make fun of the whole concept as well as overtly make fun of otaku who objectify women in that sort of fashion. While I agree the presentation may be a bit problematic and uncomfortable to some people, I really feel like there's a whole different level of social commentary going on.
You should have heard my rant about this last night on #scarlet-library. Just from 3 episodes alone I've pulled a ton of very succinct social commentary on this show and I am absolutely excited to see what direction Trigger takes this. Along with that there is a complete lack of gender roles of any kind attempted to be enforced. Ryuuko is a badass but she needs no man in her life to save her, and Satsuki bows to no man as well. And while they're both written as "strong" women, they're not being written as masculine as is the tendency. Satsuki has ambition and determination, she is totally dedicated to her cause, but this is not being conflated as masculine. She does not look nor act masculine (wearing heels and the way she poses), even going so far as to referring to her Kamui as a wedding dress. While Ryuuko is performing a traditionally male role in society, "avenging" (or at least, investigating the circumstances of) her father's death, she's not portrayed as masculine as well. She's clearly girly and proud of it, but at the same time still being a complete badass who doesn't take shit from anyone. She may not have agency in her situation right now, but this is not because she's a girl.
She's embarrassed for being forced to "expose" herself during her transformation sequence, and when others start to expose themselves, but this is not being presented with the intent to show that overt showing of sexuality is "unladylike". Mako's mom makes that clear, she asks about the exhibitionist thing not as "omg ew that's weird" but more out of a straight up curiosity. Mako is very open in her sexuality and how attractive Ryuuko is and that she should flaunt it and be proud of it (I would not be surprised if she's queer in some fashion). Yet at the same time Ryuuko is not just a pair of boobs and good legs, she crushes people who just think she's just using her attractiveness as a weapon. So does Satsuki, she scorns the commoners for fawning over her during her transformation sequence, and scorns Ryuuko for feeling embarrassment from the rabble getting their kicks in. Fuck the haters, if you want to be cute or hot you do it for yourself, and don't let others' opinions sway how you wish to present yourself. But don't feel forced to act or dress sexily because other people are pigs and only see beauty and self worth as skin deep.
There's also a very huge social commentary on the stratification of society and arbitrary factors not only determining social status, but potentially affecting quality of life entirely. The way the academy is structured is very stratified. Where you live and what accommodations you have, down to the food you're able to eat, are all based on what star uniform you have. Satsuki runs a very strict meritocracy; personal ability gets you your station in life, not flattery. She sees flattery and brownnosing as something commoners do. People with agency and power know they have power and do not subvert to other people. This has problems though, as it turns people into resources to be used by those with more ambition, and neglects their feelings and ultimately their humanity. Satsuki literally sees everyone as pawns for her ambition, and that her charge in life is to lead people from their worthless lives into a greater purpose.
The whole commentary on the uniforms being not just an overt show of status, but of power is a further social commentary on appearances being a tool used to force conformity to a cause, one the person may not necessarily believe in. They made a very clear point to demonstrate their class uniforms as being based off of military uniforms. There's an extreme sense of discipline being instilled across all aspects of school life, to the point of absurdity such as being punished for not getting permission to be kidnapped. All the class material being read so far has been of totalitarian dictators such as Mussolini and Hitler. Fascism is clearly what's being presented here, a blind dedication to a cause and having belief in such reflecting status in society. This is what Ryuuko is struggling to fight against (whether she's aware of it or not is up to debate though), to give people their own agency in life, while at the same time respecting every human as an equal.
Ryuuko thinks she's fighting to figure out who killed her dad, but it's being hinted at that she's being forced into a struggle she may not necessarily believe in, and that her dad may not have been the saint she had been idolizing him as. Ryuuko has energy and determination but no idea what she's fighting for or even who she's fighting against, and Satsuki directly scorns and attacks her for this. Satsuki isn't even necessarily the person who killed her dad, she just happens to be someone who may know, and there's an underlying hint at a conflict between her dad and Satsuki's family. Ryuuko is kind of just flailing at the first person in front of her and fighting blindly without any sense of purpose or belief. But at the same time she doesn't see Ryuuko as a peon or beneath her, in fact she respects her as an equal due to her display of will. She just does not respect her motivations as Ryuuko has not shown any agency in them.
I am ecstatic to see what direction this goes as the show continues. While there hasn't been very much in the way of deep character exposition, I feel like what they've hinted at so far shows there's A LOT more here than just a simple PUNCH ALL THE FACES AND CRUSH THE POWER SYSTEM typical youthful rebellion story. Along with the deconstruction of magical girl and schoolage coming of life shows and their troupes (and overtly making fun of the mouthbreathing otaku, which I heavily endorse), they're hinting at a much greater social commentary in general on not only class and social standing, but on all social constructs (gender, etc) and personal identity in general.
I will say I do enjoy the point you brought up on the whole concept of the Kamui being "being comfortable in one's skin". It's clear that the uniforms are being portrayed as alive in some fashion, and exerting a will of their own. The attempt to put on a 50% life fiber uniform resulted in the person going completely berserk, and when the other Kamui was activated Senketsu was described as having "goosebumps", not unlike a skin. And Satsuki clearly references her transformation as making her "pure". She becomes an object of pure willpower and determination, all airs and other social constructs are stripped away and the person is left completely exposed. All the Goku uniforms shown so far seem to be hyperexaggerations of a particular role each person is playing, and like you said, when the others are defeated they are "exposed" as the frauds they are. Contrast this to both Satsuki and Ryuuko; they are powerful in their own might without any "aid", the Kamui is merely unlocking it.