I concur about the impracticality of carpet in the vicinity of the toilet, unless it was a type of carpet that is easy to wash and dry without having to be lifted,
I have never thought of carpet for the sides of a bath. Surely better than plastic and easier to access underneath than tiles. Wonder if gripper rods are needed
My parents house was built in 1985, or 86, and they had carpet in the bathroom. It is nice and warm, and so long as you are not too messy, not bad.
My eldest son seems to get most of the water out of the shower when he washes though, and 2 boys, well, no carpets!