I guess I can see what your saying, that Starfleet would have records and protocols for how to deal with Klingons.
But Michael was suggesting what she was suggesting by using those policies to give her captain an understanding of Klingon psychology: That the Klingon's don't care about being at peace with you unless they think you can kick their ass if pushed. It still feels like relevant information, because Georgeiu was trying something that wasn't going to work with their cultural values.
Like I said, with this information, it feels like Georgeiu should have some kind of handbook she can reference as to how to deal with Klingon's on ship. But apparently, they don't. So like I said, the show presents the Vulcan interactions as the most representative sample of Klingon psychology, so...that's just what I have to go with.
And for what it's worth, it doesn't seem like there's a reason that this interaction would have changed once Vulcan became part of the Federation. The only difference would be that, united with the other alien species, the Federation just became a lot more badass than a Vulcan military alone would be, so in practice, the Vulcans just got a bigger stick, or atleast got a friends with a way bigger stick. Either way, Klingon interaction and psychology seems like it'd remain the same.