Ah, fair. I mean, if one really wanted to one could tie oneself in knots justifying the uniform difference, but I don't see any reason to. That's still eight years.Monster maroon uniforms were in use by 2278. Pretty much putting that as the last possible year TMP could have taken place.
(Personally, in My Star Trek Universe 1,000 Stardates is a year, and by that metric there's only a year and a half between "Turnabout" and TMP. Which has its own problems both logically and with dialogue, so I don't advocate for it. But I personally don't need there to have been most of a decade there. I'm just observing that there could be.)