I have never seen this actually happen and I have a lot of experience with gaming with randos (I'm old and I also started a gaming club in college that had over 75 members with at least 15 of them being female). I've been playing MTG and D&D at local shops for decades now and I've never once seen other dudes simping or fighting over a girl at the table.
Not saying it can't happen, nerds are nerds and do often lack social skills. But from my experience (and from what I've heard from my female gamer friends), this has got to be a rare situation.
Same here, although I've only been playing for like 10 years. Sure there are some younger thirsty guys but not every guy is interested in relationships, likes women, or is single. More often than not it's just people being chill and playing.