You’re asking the wrong question. Instead ask yourself if you’re willing to build a home theater room with everything required, including a projector, AT screen, proper audio setup, acoustic treatment and seating. No TV, no matter if 75”, 85” or 100” will come close to the movie experience with a good projection setup. So if you’re willing to go the extra mile and cost is not an issue, of course you’ll want a projector instead of a TV.
A few things to note from what’s been said above. Of course movies and today even TV series are made for the big screen. If it looks weird, something is wrong with your setup.
Heat and noise can still be an issue with projectors and depends on the model and installation. Anything from slightly warm to requiring dedicated air conditioning is possible.