The one we have is even worse. It won't really work well outside of things like airplay or chromecast, and those require wifi. It was extremely cheap though.

(It has an HDMI port, but it's clearly a second class citizen in the menus, etc. Default to HDMI on power up is intentionally broken. It's also intentionally designed to turn into a brick if we ever lose the remote. At boot, it puts a screen up saying to press a button on the remote if you want it to display anything else, and that screen never times out. If you plug in an HDMI input, it says "HDMI input detected; press OK.". There's no "OK" button on the projector itself. You have to press the OK button on the remote.)

Not from privacy issues, but all the typical ones from projectors never went anywhere: low brightness, high heat, low maximum operating lifetime, fan noise, and hard to set up (impossible in some places).

Faar less. A larger fraction of projectors remain dumb HDMI to light converters. Tis been my own plan if i settle on wanting a tv.

If it has any kind of in-built smart TV style OS - then yes.