I also feel that here in Europe the atmosphere in the "traditional" training is a lot more relaxed than what I heard from some people from the states. At least in most of the clubs I know, we do wear our hakamas and gis, we do bow before training and to each other, but it's still not a very "formal feeling". We have fun during training, laughing and (a little bit of) talking are allowed, we don't care who's sempai or kohai, we don't line up according to rank, we call the teacher by his or her first name.
So maybe the strange pajamas just don't make that much of a difference in that kind of environment?