If City turn them over it's a dent in their confidence. As
@Saint Domingo rightly says, 6 wins and a draw and you'd usually expect to be 3/4 points clear even now. If after next week they're actually 5 points behind they're going to think
"WTF?!". And they'll have Salah in his usual form (ie the Chelsea/Roma Salah rather than that fluke last season) and they'll know they've spent a lot of cash on players like Keita who;s not up to it, and a cameo player like Shaqiri who may or may not turn up for a game.
They've proven to be a mood club since being at their best in the 80s. Going on winning streaks and hitting purple patches and now and again threatening to grab a title. I see this outfit as being no different, despite all the BS written about them. They'll flatter to deceive. Again.
Anything less than a win there for Liverpool next week and they'd have to see that as a serious downgrading of their title hopes. And if they do win it then they still have it all to do against clubs with recent pedigree of lifting titles...which is worth about 5/6 points in any season.