Thing is to me our "central midfielders" aren't traditional CMs in the form of Alonso, Modric etc. they are required to have the energy to press, support the attack and also the energy to come back the other way. I don't think the ability to control the game is absolutely necessary for Klopp in the 2 box to box CM roles. He has shown at Arsenal he has the physical ability to do that so I think with a bit of coaching he could be a good addition to the team.