I'm sorry but lfc do not, and never have, had a structure dictating style of player or game to the managers.
Under Rodgers there was a severely dysfunctional system of barter trading between manager and "others" that created a bastardised team. Prior to that purslow went on a power trip (players like joe cole). Prior to that rafa was given total power and he went mad buying.
Under klopp he has been bought the players he really wants and then some vague signings he can be convinced of.
Look at the lists
Alisson, vvd, wijnaldum, mane all long term targets of klopps. Same for ox and keita. Matip was his day 1 get him ask.
Klopp was convinced to take salah, Robertson, fabinho and a few others like minamino were seen as just buy to flip.
It's pretty clear to me that the same old same old is in effect. Jota, Diaz, nunez all look like fully agreed purchases between the various actors.
There is simply no upper management that acts like Bayern where the players are assembled and a coach selected to get the best from them.
Fsg management have no clue how to do this. The end.