Review scores themselves don't affect my enjoyment of a game. But the general community impression of a game does and I think it affects every single persons enjoyment of a game whether they realise it or not and whether they say 'how is that even impossible or not?'. It's not necessarily like=like though. I, for example, might have a slightly higher probability of disliking something if everyone else likes it.
We're social animals hardwired to reach consensus and take other people's opinion and weave them into our own. Thats why even though genetically our brains are probably almost identical to Germans in 1933 and Romans watching gladatorial battles to the death, we somehow have completely different perceptions of those events.
On the most basic level, you'll be thinking about stuff that people have pointed out. Maybe they mentioned a flaw or plothole that you wouldn't have noticed but now you know about it it bothers you because they're right, it doesn't make sense.
And then expectation is a huge part of our enjoyment or something. I can enjoy a mod with cruddy animation and voice acting equally as much as I can enjoy a big AAA game if it's good, because I'm more understanding of the limitations of one person working. Whereas if CoD wasn't lipsynched it would probably piss me off because I expect higher standards. In the same way, I can enjoy KotoR with it's ugly graphics, but if it were released today it would really bug me that the game looks so bad.
So if everyone is telling you the game is amazing, maybe you'll be overhyped and overcritical, or maybe you'll get caught up in other people's excitement. If they tell you it sucks maybe you'll be pleasantly surprised, whereas not knowing that beforehand you'd be disappointed that the game wasn't amazing.
And community impressions affect the tone of dialogue. If everyone talks about how good Bioshock Infinite is, then everyone is talking about all it's good qualities, either to prove or disprove them. If a section of people think it's bad then the conversation will be focusing much more on the negative qualities, and this will affect how you enjoy the game.
Their are limits to the extent of this, but humans are not rational processors and your brain will be incorporating every bit of thinking you heard into forming it's thoughts about a game. It's not that if everyone says it's amazing your brain will say the game is amazing, but it will take your personal experience and then weigh that up against popular experience and create an opinion that uses those two facts in some measure