I didn't try games, but waydro.id is pretty good. I bet games run as good as other apps, unless it absolutely depends on some weird Play services stuff or has funny anticheat like Pokemon Go. Question is just which "linux phone" you want to pick. Most supported hardware is somewhat old (and maybe slower than your current phone) and Linux on smartphones has lots of quirks and annoyances.
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Waydroid?
You can try dualbooting a linux distro with an android. I expect it works, but you cannot be sure with phones.
Waydroid's performance is pretty good.
I never tried any games through it my my guess is it would work, but...
- Still may not be native performance.
- Waydroid's VM takes a minute or so to start u0 for the first time, and eats a lot of RAM while its running.
- Expect your battery to drain a good deal faster to play your Android game(s)
That said, I will re-emphasize that the performance of apps in Waydroid is pretty dang smooth once its running. I stopped using it on my phone since I no longer needed the one app I had it for.