Probably not, he has pitched as starter in the minor leagues, and the Yankees plan to use him as starter next year, I don't one inning will tire him out.
One of the reason Yankees doesn't want to pitch him too much is because they don't want other teams to see too much of him. Like I said in another thread, 張伯倫 has 2 pitches that he hasn't thrown in the ML yet, curveball and changeup.
The more other team sees you, the more pitches you need to have as starter, that is one of the reasons why Wang is throwing so much slider now, can't just rely on sinker.