Agree. The question mark remains about his fitness. But I don't think there's any doubt about his aptitude to play in the fluid and flexible pattern that Klopp favours. At the very peak of Rodgers' best season, Sturridge was all over the place, dropping deep, going wide, interchanging with Suarez up top. But he is more reactive than active in that sense: he won't be the one who, like Firmino, will serve as the role model for such a system. He'll respond to it when he sees it's blossoming. He's the kind of striker who'll tend to stay in his own little world until some external stimulus draws him into the team as a whole. So if the system continues to thrive now, I think we'll see him becoming more and more integrated within it.
