It's important to remember that Liverpool are at make or break stage, after bedding in, Klopp has to start delivering improvement and consistency. Failure or slippage at this stage and the "is he the right man?" whispers will start. Only quietly, but they will.
Of course, the big advantage Liverpool have is that there's simply less pressure on them than United. Yes there's pressure from fans, but the press isn't looking for anything, no matter how small, to fit into a team-in-decline narrative, like they are with United. I actually think the opposite is true, with Liverpool the pundits are always looking for things to fit into a "Liverpool are on the up" narrative. Makes sense really, certainly explains how the Prem Trophy was basically "given" to them the other season, before that bit of "slippage".