I play on 360 and I've never seen it happen.
Surprised to see this. I am too playing at xbox with the goty edition. The game has almost crashed 10 times because of the stranger. Once i was on this huge cliff, shooting at enclave beneath. Mysterious stranger showed up and the game froze. Then i reloaded a save, and the same thing happened.
So yeah, usually when theres a lot of enemies OR when youre at a huge distance, and the dude shows up, the game freezes.