I feel like seasoned gamers would automatically be better at typing than a similar-experience counterpart, I know I have always been decent even when I first began typing probably because I've been playing Minecraft and League of Legends for a long time
I agree, I believe playing games is quite beneficial to typing skill, as seen in the case of one of the better typists in the community, SnakeTwix, an avid Genshin Impact enjoyer.
Although I don't have much time to play games anymore, I used to be a competitive player in the rhythm game osu!. I ranked ~600 globally back in 2019. Like typing, it requires fast finger movement and fast reading.
I got my typing from my early CS:GO days. I didn't have a mic so I had to type out callouts as they happened lol. I think that's how I got my initial 30-60wpm.