I've started to doubt the McDonald's story - I don't see how anybody could have recognised him, based on the photos that were released. The FBI were given LM's name on the 5th (as someone who had been reported missing), and they arrested him on the 9th. My conspiracy theory is that I think they found him using means that they don't want us to know about, and sent a group of ex-cops to McDs, to loudly talk about him until they were overheard by an employee. So it could've happened anywhere, really.