Now that in 23.4 the color profile is finally remembered by the output template there is one more thing that is annoying.
I understand that there is an issue with automatically selecting a proper color space for footage that is imported into the project panel - it's difficult to know which one should be applied after all.
if I just rendered out a comp, with an output color profile and drag the output from that render job in the Queque back to the project panel to reimport it - there is no reason why AE wouldn't automatically set the input color profile of the newly imported sequence to the proper one. It knows which output from which render job I was just dragging so it only has to look into the output parameters of that render to find out which output color profile was used during rendering.
Please, I feel that a thing like that should "just work".