Not gonna lie I kinda respect people who can do that. I, the forever-GM, am also always "the funny one" and didn't really grow up with positive associations with expressing "deep, moving, dramatic, or sorrowful" emotions.

If I made people sniffly at my table I'm afraid I'd get concerned and everyone would feel awkward. Or maybe I'd feel the most awkward and feel forced to make something goofy happen like a Marvel movie writer lol.

If I got wrapped up in it and made myself emotional? Ahh! It's like that "I showed up to school/work with no pants" nightmare!

But that's like, human, right? Being moved by stories. I worry I won't be able to tell impactful tales with depth beyond "beer, pretzels, and Monty Python jokes" unless I can get get past that personal block. =\

TL;DR: Anyway, not afraid to go dramatic and your players keep coming back. That's really fascinating and I genuinely mean that. Power to you!