The thing is, Sturridge has more in his locker than just playing off the shoulder of the last defender, he actually does like to drop deeper and pick up the ball in different positions. He has the qualities to play in Klopp's team. It is the work-rate and the instinct as to when to drop deeper and when to push up that appears to be lacking, as well as a seeming lack of confidence to push his body to the limit.
Agree with this. The Leicester game shows he can lead the line on his own in a Klopp side (though I think he's at his lethal best in a pair upfront). Whether he can physically keep up with this level of play is the big question.