I very occasionally see people in PJs in public (in London) - but only very young women, and only as a fashion trend (i.e. clean PJs put on that morning, and of a specific style - not PJs worn to sleep in).
For some reason everywhere I've ever lived (save the one year I lived in NY) had fitted carpet in the bathroom. My current flat had fitted carpet everywhere when I moved in, and I do mean everywhere, but I ripped it out of the kitchen and put down lino tiles, because eww. The bathroom is still carpeted. Doesn't go up the bath though.