Good points. But the bolded is easily solved by putting the defensive fullback on his side, and putting the attacking fullback on the right side.
Under Rodgers, both fullbacks went forward, always. When we played the back three, it didn't matter so much, because Skrtel was playing as a de facto sweeper, so Lovren was never the last man, and didn't have half a pitch to cover. When he's on the right side, he's on his natural side, but recently, the defensive fullback was on that side, so Lovren was playing the second-defender role more. On the left side, with an attacking fullback, and no sweeper behind him, he gets exposed in spaces he doesn't like to play in.
Good post.
However, I suspect that a defensive/attacking full back combination is not going to be something we see with Klopp long term. It is more of a temporary tactical solution to problem he could not solve with existing personnel.
His midfield wasn't affording us the protection needed regardless of what combination of Henderson, Can, Milner, Coutinho & Gini was playing. With Keita coming in, Coutinho and (likely) Can leaving and the aging Milner & Lallana likely to see minutes in midfield reduced or them moving on altogether in the near future, I think we will see something of a complete overhaul in midfield in the not to distant future. I then believe one he has the players he wants for his system in midfield, we will once again see
laterals on both sides of the pitch instead of Gomez playing as a wide 3rd center back.
Could be totally wrong, just my gut feeling on where we progress from this point here and how.