So, an unbiased opinion was asked. I can happily provide one.
It's mostly what kind of console exclusive games one finds more attractive. And what console IRL friends own.
Then for the very hardcore console gamers, it is a separate issue, I must admit XBOX 360 is a bit better, because the controller is a bit better, a bit smoother gameplay, a bit better graphics and better online, clearly better hardware architecture, but only about 1% of the gamers are so elite, that they need a XBOX 360.