The whole point of a Brazilian midfield is that overkill that sucks the opposition in and opens up space all across the attacking line and provides ample opportunities for the 3rd wave of attack (fb's) to go about their business untroubled and often times, unnoticed. If it's Firminho at point, he becomes the player they funnel to if not the wings in order for him to hold up the ball and play the others in around him, or to triangulate play, which is another Brazilian forte that can drive teams to reckless actions trying to break up the play and prevent the carousel. It's not the Klopp style - at all - so it makes me wonder if he is indeed looking for something different in bringing someone like Arthur in who is a very linear, specialist player. Like I said, he's complementary to a Thiago, but a terrible like-for-like because he has nowhere near the passing range or unpredictability to keep opposition honest. Arthur's the guy that alleviates pressure and provides space for Thiago to do something more with the ball after a few combination passes; if you put him into that Liverpool midfield by himself, with nobody to play off of, he's going to struggle and be half the player he can be.
I agree about the legwork, but the whole point of that kind of midfield is that they have the ball and you don't, and you're supposed to be chasing it over and over until you tire and can't pressure anymore, plus, men are committed wide to contain duel threats on both flanks so it's not as easy as getting stuck in or overwhelming them (should they click). Arthur's not your guy for 100mph football, though, nor for grafting, high intensity pressures, so it's a weird signing unless a real shift in philosophy is intended.