The first thing I check for is if a game is Terraria. If it isn’t, I play Terraria instead.
All kidding aside, I tend to enjoy games that involve exploration, character development, and pleasent visuals. Good sound design is also a must, and I prefer games to be at least somewhat action oriented.
None of these things are hard and fast rules for me, of course. I like a lot of different games.
To be fair, Fedora has opt-in telemetry. It’s 100% anonymized, though, and helps with development. I always say yes when I’m running a beta (like now).
That having been said, you should always check the privacy policies of any given distro. They tend to all be pretty up front about it (kinda hard to lie about it when anyone can check your source code…).
AFAIK, though, neither Mint nor Elementary collect telemetry by default, although they might have opt-in like Fedora. Both are based on Ubuntu LTS, but they also both scrape out so much stuff that they’re devoid of most of the Canonical junk.