Face down cloaked cards leak info about being a creature

[xenohedron]

Reported on discord

[[Hide in Plain Sight]] cloaked two cards for my opponent, but I could tell one of them was a creature (that could be turned face up) and that the other was a non-creature (that couldn't be turned face up), because the face down creature had reminder text that it could be turned face up for its mana cost (which shouldn't have been visible to me) and the face down creature did not have this reminder text.

[github-actions]

Hide in Plain Sight - (Gatherer) (Scryfall) (EDHREC)

{3}{G}
Sorcery
Look at the top five cards of your library, cloak two of them, and put the rest on the bottom of your library in a random order. (To cloak a card, put it onto the battlefield face down as a 2/2 creature with ward {2}. Turn it face up any time for its mana cost if it's a creature card.)