I've wanted a projector for so long, and had the chance to borrow a friend's high quality one to test it out. It absolutely elevated the movie experience and - depending on the viewer's preferences - could be worth it for that alone.
However, this:
> The projector, by contrast, is much less pleasant during the day
Was a significant enough drawback to me that it ruled it out as a daily driver. Although I do like the way you framed it.
That's not really an issue if you get an Ultra Short Throw laser projector and pair it with a high quality UST-optimised (like a lenticular/sawtooth) Ambient Light Rejection screen. A setup would reject something like upto 95% of ambient light, so the screen looks good even in bright rooms.
In saying that, even this setup won't be able to match the deep blacks of a modern OLED TV in bright environments, but if you haven't been spoilt by OLEDs already, then a USTLP + UST-ALR is a really good alternative.