I used to sweat a lot when I played videos games when I was younger, but it depended on the game. I could still play normal games and sweat very little or none at all. The game I played when I was younger was Super Smash Bros. Melee. And it usually happened when I was playing against another person.
Now that I started mentioning it, I tend to still get those reactions nowadays. I have autism but have only been diagnosed for about 3 to 4 years now. What tends to happen nowdays (maybe what happened then and I just didn't notice it), is my heart starts to pound in my chest, I start to feel lots of stress and I start to sweat and my legs start to shake up and down. This usually only happens when I am going good in a game and what to keep it going, am trying to reach a goal, achievement or trophy, when I get trapped in an area and try to fight and stay alive in the game. These are just my own personally experiences and only now think they are related to my anxiety and autism.
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Michael