If the game isn't in Buffalo it's an away game. I get the neutral field thing, but it's an away game.
Going on the road changes your routines, Cleveland was going on the road anyways, Buffalo, Detroit, it doesn't matter to them. The Bills on the other hand have to pack up everything ASAP and GTFO of Buffalo before they can't. That's added stress for everyone from the players and coaches,(game plans,practice etc) equipment guys... Advantage Cleveland.