I don't really know what would be considered "correct" for TPM. Probably if someone had a bootleg straight from a theatrical print we'd know how it should really look. (Not talking about the cam-recorded versions)

In the DVD/HD broadcast there's the pink tint over the whole thing, not to mention the over-sharpened edge ringing.

In AOTC on blu-ray though, the hue has been shifted on each color separately, it seems. The only cure for that would be to use selective color or something similar and match them back to the HD broadcast.

Or are you talking about a scene by scene RGB balancing correction? (Like, not following a reference.)