I think this is interesting and something I've thought about since the return of football.
Jurgen Klopp was always trying to get the crowd engaged and pumped up because he believes it has a huge effect on how his Liverpool team play. Without the crowd they seem to be missing that extra 1% of intensity that made them incredible pre-lockdown.
Whereas Manchester City probably don't feed off the crowd as much as Liverpool do. Manchester City are all about rehearsed routines so they may even find it easier without a crowd as they'll be able to communicate much easier.