But the Museum scene was never going to feature background ships from Discovery. It was purely about nostalgia for the TOS/TNG eras.
Yeah I think it's more purely nostalgia for hero ships of the franchise, which is fine.
This. Nobody has nostalgia for the DSC season 1 ships. Even if the two production companies talked to each other, we weren't going to see Cardenas's, Magees and Walkers.
Now, the nostalgia factor for some of the actual ships that they did use is questionable too, but that's another story.