The TV situation is very tricky. People report things like firmware updates braking compatibility, and even the compatibility chart / thread is not that helpful as very often people couldn’t test a lot of consoles. The compatibility report might look good, but maybe they never tested a SNES, region converted Mega Drive, AES etc.
If you are in that situation, the only real choice left is probably to buy a Framemeister (as long as that’s still an option…), so even a 250$ video processor might be a cheaper alternative. I read reading good things about this box:
No personal experience. Maybe buying ~10 of these boxes from a place with a good return policy like Amazon and trying them out would make for a compelling live stream 😉