Re: wood floor in bath
I've used it in a number of 1/2 bathrooms and kitchens without problems, however I'd be reticent to install it in a full bath where water on the floor is almost assured, even if it's adult use only. water drips on the surface aren't going to hurt anything, it's splashes from the shower/tub where a larger quantity can pool or travel to seams and edges and cause damage to the flooring as well as mold underneath if the water is able to penetrate there.
You mentioned "tile in the shower". Is this to say that the shower area is separate from the rest of the bathroom and would have tile on the floor outside of the shower? If this is the case, then the concerns expressed above are less troublesome.
I suffer from CDO ... Its like OCD, but in alphabetical order, LIKE IT SHOULD BE!!!