This. Never trust software switches. See my other reply for what I suggest instead of "streaming boxes" that aren't any better than the TV firmware.
They still need to tie it to you. If you've not given it a shred of personal information, it has to be fingerprinting via surreptitious audio/video recording, or else by obtaining the purchase info from the retailer (like the name and billing address from your credit card) and matching that by serial number (which would have to be recorded during purchase).
(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.)