That's funny, I'm in the US and my daughter puts on a British accent when she's playing.
I guess for either one it's something that sounds exotic and fun.
I've noticed that a lot of my daughters friends put on American accents when they're playing; we're in the UK, so presumably they just watch a lot of american tv. I don't think it's particularly alarming though, I wouldn't think to warn someone to 'be careful' of letting their kids watch My Little Pony because they might imitate the accents