Projectors wash out easily especially on pastels or low saturation colors, also, they are extremely sensitive to being in the exact same place so you want them semi-permanently mounted. Why? Every time that projector moves a millimeter, the keystoning and shifts needs done all over again.
For the cost of a projector that does both keystones, lens shift, etc, that is bright enough to not suck; with a short-throw lens barrel....you can just buy a TV. Particularly right now on Black Friday. The TVs these days will invariably be 'smart' so you can wirelessly shoot the Rouvy or Zwift video feed direct to the TV from your phone or laptop etc...as opposed to the projector where you need to mount it to your ceiling, and run power and video to it and ugly up your room doing it...I suppose if you're in an unfinished basement it matters less, ofc.