Generally speaking, when men exercise, they basically go all out and sweat, so they don't wear a coat, because it's useless to wear it, and they can't stop sweating, but they feel uncomfortable. Although we pay attention to civilized quality and don't expose our upper body in public, this does not include the gym.
In reality, one kind of men who exercise in the gym is topless, and the other is wearing a vest. Both cases are for the convenience of fitness and do not affect the movements. If you are a man, there is nothing to say. Even if women come to exercise, it is not unacceptable to see men naked in the gym. A man's upper body is not a private part, there are not so many taboos, and everyone will not care so much.
If the male fitness place is not in the gym, but really outdoors or in a crowded place, I believe no one will stick to fitness with bare arms, which will not only attract the attention of others, but also make it impossible for them to exercise well. There is no right or wrong in many things, or it is meaningless to discuss right or wrong. It's like being naked in a gym, and everyone is indifferent and doesn't say what relevant laws are involved, so it's ok.
The question of right or wrong is what kind of laws have been violated, or social morality has been violated, because both are universal laws of society, not personal wishes. If one feels that others are uncomfortable with bare arms, the only choice is to adapt to this environment by oneself, and the environment will not change. Generally speaking, women will not wear too much or too little when they go to the gym, or they will do it according to their own wishes, especially in an empty place like the gym.