I've only heard the "mail order bride" thing twice but by people who think they're being funny but are not. Otherwise I haven't noticed anything in the UK.
I notice the western/Filipina couples in the Phils especially the very young girl with old guy or attractive girl with ugly bloke or (strangest one I saw this time), a Dutch father and son both with Filipinas who looked about the same age.
My friend asked a Filipino guy what he thought of western guys going over there and taking their women and he replied that it made him sad.
It seems that there are a lot of women to go around (so to speak) so us foreigners nicking a few shouldn't make too much difference.
Strange that when my wife was young free and single, none of the local lads made a move on her. Are they gay or what???