The reality is that that despite MPEG-1 and MPEG-2 support those resolution, none of the mainstream implementation supports it. ( Although you could always use Software implementation as MPEG-2 is now patent free ) Hence when you go 4K, only newer version of MPEGs are used.
It is also missing MPEG-5 with EVC. And how not only MPEG-4 has different codec, AVC itself introduces many different profiles where compression efficiency differs greatly.