Cold water going by in close proximity will probably result in some splashing on you, plus the movement of cold air in close proximity is going to suck away some heat too.
It is kind of refreshing in the summer, but very different if it is chilly in the bathroom. Plus you can keep your PJs/robe/a towel on you to keep warm outside the shower while the water is warming up.
Based on videos of how they do arrests, when ICE touches someone as part of an arrest they count is as assault on ICE. Like the politicians who are being charged with assault because ICE shoved them to the ground.