Yeah you have a point because Manchester City has a home advantage over Liverpool because checking there past matches from September till now they have not lose any home matches but on the contrary they have actually been winning.
So, it will be a tough task for Liverpool to prevent Manchester City from winning at home again easily in next week's match, because currently the two of them are also very close on points and Liverpool needs to try to prevent Manchester City from winning at home. And it will be very interesting for Liverpool if they are able to hold Manchester City to a draw next week, although this is not easy enough for Liverpool because so far Manchester City has also been quite consistent in every match.
So however I'm not disputing the facts that Liverpool are not in a good shape but what I'm trying to say is that Manchester City has more forceful and tactical strikers than Liverpool. For me I'm seeing Manchester City beating Liverpool on that match, but let's see how it goes because we can assume but are not certain of what the outcome will look like.
If Liverpool is not in good condition all this time, that means Liverpool will not be in the runner-up position in the Premier League standings. However, as everyone can see, Liverpool is able to be in that position with only one point away from the current leader, namely Manchester City. So how do you conclude that Liverpool is not in good condition at the moment? In fact, I actually thought the opposite, where Liverpool could create an unexpected surprise at home to Manchester City later.