Trans trait? No. Over compensation? Maybe. Even men scream when they're in pain.
I personally don't make much noise after my pain is higher than a 6/10. It hurts too much to breathe. I'm not trying to be masculine, that's just how I react. As I got older, I also learned to cry more quietly, or rather, I don't make a sound at all, hardly. I just breathe hard. I think I learned how to do that because being trans caused me a lot of pain but I didn't want anyone to know about it. I also didn't want anyone to hear me crying because I didn't want them to know I was molested when I was little. Now that all of that is out, I have no reason to cry quietly, but I still do. It's not a manly trait, and screaming/crying isn't feminine. It's human.
When I burned my hand a couple weeks ago, I just said "OW!" and let go of the pain. It was a "masculine to androgynous" kind of yell, I suppose, but nothing was wimpy about it. Again, why do I respond to pain like this? Not because I'm "more masculine," but because that's how I've developed to respond. Screaming doesn't make the pain go away, so I consider it a waste of energy.