Any communication systems are valid military targets in case of war. So much so that they are usually among the first targets.
But there are also other considerations. In your example I doubt China would want to provoke the US by shooting American-owned satellites out of the sky, and I doubt Starlink would be that important anyway.
But there are also other considerations. In your example I doubt China would want to provoke the US by shooting American-owned satellites out of the sky, and I doubt Starlink would be that important anyway.