Yes, my browser supports WebGL 2. I am running Firefox 152.0.3 on Arch Linux.
WebGL 2 Driver Renderer AMD -- AMD Radeon RX 6500 XT (radeonsi, navi24, ACO, DRM 3.64, 7.0.13-arch1-1)
Oh, hello fellow arch user :) I tried with the same firefox version, it works for me, so my best (and so far only) guess is something goes wrong with the graphics drivers somewhere.
I uploaded a linux build of the demo, does that work?
If you want to play in browser one more thing to try is disable hardware acceleration in firefox:
Restart firefox and try once more. You probably want to restore the setting after trying, though.