>Youkai biology.
That's relatively simple. The essence of a youkai is its mind, not its body. A youkai's psychology determines its physiology, not the other way around.
>Redshift
During the Kaguya boss fight, the moonlight graphical effect behind her changes in the following way:
-At the beginning, it's blue;
-After her first SC, Kaguya plays a "gathering power" animation, and the moonlight turns red;
-After the second SC, the graphical effect reverses;
-After the third SC, the reversed moonlight turns purple, and stayed that way to the very end.
Now, this is obviously referencing redshift and blueshift. And because the change only takes place after Kaguya's special "gathering power" animation, it's intended to be highly visible and meaningful. So what does it means?
My interpretation:
Kaguya had discovered the endless night magic (but only realized it’s casted by the opponents before her eyes at the end), and was using her power to neutralize its effect throughout the fight.
The endless night might have worked by rewinding time. Thus:
-"normal" blue light = normal speed time rewinding;
-"normal" red light = slowed time rewinding;
-"reverse" red light = slowed time;
-"reverse" purple light = time fast forwarding.
In other words, Kaguya reversed the direction of time again so it flowed in the right direction, and then accelerated it to catch up with the correct hour of the day.
Also consider that the moon is moving from left to right when you first reach the end of Stage 6B (it then stays in the center of the screen). If the left is the West, then the moon is indeed moving in reverse. That's hard to tell, though.