Your claims are a bit too rigid. Debryne is not "just" a counter attacking player. He is a well rounded player who's quick thinking and movement suits any team. He is not like, say, Bale who is Tailor made for counter attacking football. Lots of athletism, speed and a great shot and cross on him, but less effective in tight spaces, and not much of a cultured passer or controller of the ball.
That description doesn't fit Kevin: Funny enough Kevin is actually a lot like Nasri in terms of movement off the ball, but additionally more aggressive with his passing thinking and decision making. He is a bit like Mueller in that regard. He will produce regardless of system.