Projectors cannot handle ambient light without being a fire hazard.
That seems an overstatement. I now have one in my entire house (don't have kids).
There's a fairly large TV panel on one wall in basically a sitting room. Otherwise I just use a computer. A relative basically has TVs in every room. I guess it maybe made sense when he was rebuilding anyway but it still seems excessive to me who might sit down to watch a movie or show but doesn't have live TV.
But, then, I don't have AC either in Massachusetts.
Ambient light is dealt with having nice thick blackout drapes.
This is not some rocket science, it was done for like a hundred years.
edit: actually in my former apartment I just bought a roll-down projector screen that completely covered the window. pull down - zero ambient light even in full sunshine.
Take a look at this house:
https://www.zillow.com/homedetails/5619-Walnut-Hill-Ln-Dalla...?
Sure, it has a theater room with probably an incredible projector I'd imagine. It also has a bar with a big TV behind it. It also has a game room with several TVs mounted on the walls. In both of those situations, you wouldn't really want a projection setup. A brighter TV wins out in the end.