What's with this Mumbai ya stuff?

Here's a man after my own heart. He quotes Winston Churchill as saying "Everybody has a right to pronounce foreign names as he chooses".

So how come the BBC is so slavish to all this Mumbai talk? Would Indians be offended if we said Bombay? I suppose some would, but as Paul Battley says, "I don’t call Paris ‘Paree’ unless I’m speaking French."

I see The Times Online refers to Bombay still. Funny old world!