I’ve tried this with a cheap projector from Amazon, it almost worked but unfortunately the edges of the screen were too blurry, only central area of the screen was perfect, the projector’s fan was noisy as it generates a lot of heat, and the placement was a bit hard and messy, I didn’t want to drill it and hang it as it was just a test.

Then I’ve tried oculus quest 2 and honestly it might be paranoia but I’ve noticed my near sight dropping too obviously after just couple of sessions.