Agree with all of that, but I think we would've pursued Klopp before the season started if it was a possibility. He clearly didn't want to start working immediately after his Dortmund tenure, I'm happy we kept Rodgers for a few more months because if we did sack him after last season, we would've ended up with an average manager again.
I'm sure he's got some long-term guarantees from our board, if such things even exist anymore these days. We have to realise he's not a miracle worker and wouldn't turn us into a top four side straightaway. We should give him an appropriate amount of time to change things at the club and evaluate him after next season or something like that. Of course we'll act properly if he really can't get his act together but I don't think that'll happen, if he can't transform us then I doubt anyone can and we're truly lost.
Also, and that's not meant as a slight on the Bundesliga, I think it's easier to break into the top four in Germany than it is in England (not currently but back then when he did it at Dortmund). Correct me if I'm wrong though, because that Bremen side with Özil and Diego was a joy to watch and they scored for fun iirc.