Yeah, unfortunately, the number of TV's that actually work correctly with 4k, HDR, variable frame rates, and both consoles are few and far between.
With all the various "standards" for HDMI 2.1, everything got f'ed up because the "standards" have too many optional pieces which are not properly defined and everyone set about making assumptions on what should work. So good luck with most of the current TV's and trying to use the new consoles. It is a coin flip as to if you have the HDMI control chip that works in your TV (as one of the two main chips do not and this doesn't seem like it can be fixed in software since the one chip that doesn't work only works when things are compressed, which was an optional to the optional (meaning it was supposed to be mandatory that it would work uncompressed if they enabled this optional feature)). And it only gets worse if you bought a A/V receiver/pre-processor/HDMI switch since that also has to have the one working HDMI chip in it as well as your TV.