This is hyperhidrosis, accompanied by increased secretion of fluids in the body, including. sweat. And unfortunately, this does not depend on the type of clothing. As a person with such a problem, I face such a nuisance even walking down the street in winter in a T-shirt and a not too warm jacket wide open. Moreover, this problem can be both age-related and chronic, which is very sad, since you have to limit yourself in choosing clothes, trying to find something on which traces are not so visible.
I will answer as a person who always sweats a lot, from any physical activity. Whether it's going to a store, whether it's physical education or other sports. It's just the way the body works, and it doesn't matter in any way whether it's cotton or other clothing material.