I suppose that's a relative question. Personally, I don't think they are at all stylish, nor in keeping with the current style - I love SL pumps and the Babies boots, but the Tributes are just ugly, ugly shoes.
I am sure there are people here that will vehemently disagree with me though!
As for their popularity - I still see them in Selfridges and see people try them on, so they must have a fan base. That said, I can't remember the last time I've ever noticed anyone wearing them.