Interesting idea I never thought of, though for my purposes my room gets way too much natural light for a projector to be viable.

There are ambient light rejection (ALR) screens available now that make projectors viable even under bright lights. Problem is, the decent ones are quite pricey, sometimes costing almost as much as the projector themselves. You could easily buy two OLED TVs for the price of a decent short throw laser projector + ALR.

The other issue issue is that most, if not all, modern projectors are also "smart", so you may run into the same privacy issues as TVs...

Maybe the best option is to just buy a PC monitor and pair it up with decent speakers, the only issue being you can't get larger screens like TVs.

blackout shades go a long way, but if you’ve got huge bay windows that’s probably too much.

If it’s close to good, and you need a little more brightness, there are newer screens that reflect much more light. more reflective = pricier, but there’s a decent value/sweet spot.