I think the players will not want to lose, but won't actually mind losing if it stops Liverpool winning the League for the first time in 20+ years, if that makes sense? so that extra 5% effort won't be there subconsciously
Whether that "subconsciously" is enough grounds for the Scousers, media and FA to investigate us for "throwing the game" I guess depends on how badly we lose to City.. if we lose to City by 4 or 5 goals you'd have a reasonable argument that the players down tooled on purpose..
Either way, the pressure on United and it's players will be huge.. every body language analysed etc.