Don't think it's as simple as that these days.
They're a very attractive prospect to a lot of footballers now, but where they are after Klopp goes is heavily dependent on a) where they are when Klopp goes (he didn't leave Dortmund in the best of places, b) who follows him (a bad appointment can set a team back), and c) how much money they're willing to spend compared to their rivals.
I'm not sure they've fully shaken the "stepping stone", or "career progression type" as you've put it, club. It was only last season they lost Coutinho. If they've still got Mane, Firmino and Salah performing at their best in a couple of seasons time, with VVD, Matip, Gomez, A-A, Robertson, Keita, Fabinho and Alisson all developing/cementing places in their starting XI, then I'd say they have.
Liverpool's biggest problem for the best part of a decade has been keeping hold of their best players. Torres, Alonso, Mascherano, Suarez and Coutinho were all, in their own way, massive losses. The big positive for them is how well they've coped with losing Coutinho compared to those they've lost in the past.