Depending on how things shake out, we may eventually end up with a Linux Arm gaming experience that is overall superior to actual Windows for Arm gaming, which would be a real treat for proponents of Linux.
True, having a head start is useful, but realistically it will be short lived.
Microsoft on its own has more paid developers working on the ARM scene than that on the Linux side, and the big time gaming companies will be almost exclusively pouring their money and developer hours into Windows ARM.
It's simple math on the dev hours.
Linux will, however, remain a better gaming environment than Apple Mac. As is true to Apple's history, they rush to the scene, make a bunch of noise and thrash around in the water for a while, but now they seem to have disappeared again.