Other than copy paste articles in the online news sources, what has been going on in the USA re Bathrooms has not received any mainstream media attention here in the UK. That was until the Boss cancelled his Gig and it was mentioned on Saturday's BBC breakfast TV news.
Ok so in typical BBC fashion the screwed up the trans aspect horribly and also focused on the striking down of the anti LGBT discrimination ordinances with an uncomfortable mention and messed up reference to the bathroom issues.
I also don't receive any trans stuff on my old facebook account, the last thing was the meme of Caitlin in her Porsche, but i did see one of my friends like the Boss's statement on FB. So i think things like that do have an effect, its probably minor, but to change public opinion will take lots of tiny nudges, the more people hear that these things are not ok and from sources they respect and are somewhat impartial is only a good thing.