The fixtures have really worked for them with the cup next, the first team will have time to regroup take in the situation of four points ahead with only three 'against the top six' fixtures left, and only one (United) away and think its doable.
When City lost it was back to back fixtures to follow, one after another, just to hit them when most vulnerable.
Like avoiding the Europa league congestion, this has really worked out for them - I'm pretty sure getting knocked out of the FA cup could be seen as beneficial for their chances of attaining their number one objective anyway.
City will be in everything including the League cup so I expect Liverpool's reserves at Molyneux and no tears at all if they go out.