If the enemy has a MAP attack, it's pretty useless, they still see the hidden character.
They still do not shoot out danmaku (if the rest of the crew is really far away), I have test and confirm this, which is why ship teleport the the best way to do it.
In my video of Meeko's demo stage, it shows it quite well, only the black kendamas that were near the main group had danmaku on after their turn, as long as I cast hide,
It is handy for any opponents that has a odd field that hinders set up, like catfish and shikieiki.
Regardless, I always use ship teleport in any "normal" stage, it is the single most handy ability in this game and makes dealing with mobs a thing of the past.
EDIT: I think I found the best offensive combo in this game, there are reasons why they give you this item with 2 stages left:
Before this, you can use Suwako Hat or Shinekawa with Iku to produce the same results, but Adapt will be needed to get SS Rank.
EDIT 2: Kogasa's Stage WP no longer requires you to play the entire stage on the ground.
You also get Lily Black Equipment as you go into the white square nearest to your spawn, although it is pointless since you cannot change equipment, and the soonest you can do it is at Shikeiki's Stage, which was where you got it before.
Fairy Overdrive is now also learned in Kogasa stage instead.