As a nudist, I certainly am not going to take on any addition of clothing just because somebody doesn't approve. At a public swimming area, I've noticed a big difference grooming makes. When my breasts are all hairy, much more so than 30 or 20or even 10 years ago, everybody ignores them with purposeful ignoring. When they are shaved, and that is with usually the whole front of my body smooth, they drop jaws. One woman at a public pool (years ago now and I have no idea if I body shaved then or not, said approximately "I should call the police for you exposing yourself like that to all the kids." The kids she waved at were under 8 and never batted an eye. I was of no significance to them. So a private beach is a place to enjoy and not have to wear any clothes or whatever I want. At a nudist club, ALWAYS PRIVATE beach and/or lake and/or pool there are men with breasts all around. They are not hiding. There are days when entire groups socializing or playing sports or swimming or hiking or slash cleanup crews that all the men in that group have significant sized breasts.
Almost everybody you run into is very familiar with the normality of men having breasts. One time there was an old guy (older than me at the time) who asked his wife why did that guy (me) have such big breasts. I went over and joined them in the hot tub and explained gynecomastia to them. And then it went into nutrition for us older folks. I enjoy being somewhere that I am accepted as being as normal anybody not have any body shamming going on.
What people think of my body is irrelevant and at a nudist club most everybody agrees. As they are all there to have fun and NOBODY thinks they have perfect body and they don't expect anybody else to have one either. One has to behave decently but bodies are just bodies and that is often well beyond our control, aside from taking care of the body.