not really, they had a decent passing game last season, and as a club its in their veins to pass and move, to play from the back, the fans know their history and will be appreciative of the patient style Rodgers will encourage there
I think Rodgers will do ok. He'll probably get them 6th but it won't be instant amazing results with them IMO, because there is a fair bit to change - where as with us it's more evolution rather than revolution. Rodgers admitted from his time at Reading that he tried to change things too quickly so maybe he will initiate change slower at Liverpool, but that means for a while they will be in a period of transition, and won't be playing the Rodgers style to the best of their ability - which is what he was signed for.
He will have to use Carroll. He can't not use a £35M player. And yet Carroll's strength is in the air, not on the floor, and they probably won't be lumping the ball in the air very much under Rodgers. That means Carroll is going to have to play well in tight spaces with the ball at his feet...and that's not really his strength.
He will have to use Downing as one of the wing forwards most likely. Again because he cost £20M, he can't not make use of him. But Downing is a different type of player to Sinclair, and is more suited to being a provider rather than an outlet.
He'll have a goalkeeper that will do well for him. A well-suited right back. Agger will be good for him in defence, and so will Enrique probably. Lucas will be a decent holder but he's not really in the Britton mould of making incisive passes forward. Henderson will also need to be used, and he is tidy in possession and should be able to press well. Adam may be decent. Gerrard will have to alter his game.
They will definitely need to make signings upfront, and they will probably be in a season of transition where some players shine but they drop points and get a bit inconsistent because some aren't suited. Then once they can move those players on they will probably start to see real improvement.
With us, we are already suited, so I think it will be a couple of years before Liverpool catch us, but they probably will eventually because there's only so much better you can get. But I don't really see us needing a season of adaption while we learn AVB's methods, I see us already ripe to put them into practice because they seem to be a natural fit with what we already have.