What does that have to do with Federation Starfleet?
Vulcans and Andorians were... part of it?
Simon Pegg made that assertion, but there's no official authority stating that he's correct.
Similar situation here though. Dave Blass is saying stuff, and he's involved with it, but does he have any actual authority?
You're being nitpicky. By your logic, you might as well say that none of the other ships were what they were supposed to be because we didn't see them clearly, when the whole point of the museum was to show ships from past Trek series and films.
I think it's much more nitpicky to try to delve in and find background information to discover what the ships are rather than just... watching the show.
Sisko didn't serve on her. He served on a ship like her, which was refurbished to look like her. And he also served on other ships. Where are they? And if they were destroyed too, why didn't they refurbish other ships from their class into the ships he served on? Why all the adoration for Sisko anyway?
The Dominion War was a Big Deal. Sisko was a Big Deal in the Dominion War.
It's only speculation beyond that, but I suggested that the Fleet Museum was going to display a Miranda, and the only two Miranda's (that we know of) that were at all noteworthy were Saratoga and Reliant... with Reliant only being relevant to the viewer. The museum could have just made it any old Miranda, but the Dominion War and Wolf 359 are Big Deals, so... why not connect it to Sisko?
It's almost the same situation as having the Stargazer there... the Stargazer is an almost irrelevant vessel other than being Picard's first command. But Picard is kind of a Big Deal, and they had the ship laying around so... there ya go.
I'm at a loss as to why it's problematic that the ship we see in the Starfleet Museum is the NX-01.
Because it's NX-01 in a configuration that shouldn't make any sense for it to be in.
We know a few facts.
By 2161, NX-01 did
not have the refit. On screen visuals confirm that.
NX-01 did
not serve under the Federation, as per TNG "Relics".
So NX-01 was decommissioned by Starfleet, and
then received a refit, after it was no longer in service?
Again, sure... there's ways to explain it. There's ways to explain anything. It was probably better off to just have it be a different NX just for the "oh neat, the NX refit" on screen for the "if you know, you know" factor. That's how I saw it when I first saw the episode. Never occurred to me it was NX-01, because... NX-01 didn't look like that.
It's a larger bothersome issue in new Trek where, despite being portrayed in a visual medium, visuals don't matter? Things change how they appear with relative frequency for no particular reason, somewhat nonsensically. Like we now know that the DSC/SNW version of the Constitution absolutely coexists with the TOS version of the Constitution (actually, Prodigy had already established that.) So it's not even a case of just "visual reboot". They're both there.
I will acknowledge it's all mostly fairly minor stuff (i'll never excuse DSC Klingons), but... this is a Star Trek forum. Feels like an appropriate place to discuss.