until I have official information to this effect, I'm assuming for this essay that the date on the dedication plaque is the date the ship was originally built and/or commissioned.
I sort of doubt official information to any other effect is ever forthcoming.
There are two main ways to mess with the information against official or implicit author intent: reinterpreting the meaning of "commissioning", and reinterpreting stardates. There's no onscreen reason to do the first, except in one's own perverseverse to rationalize these things. But there's always "Dark Page" where an in-your-face, low five-digit stardate clearly doesn't follow the pattern set in TNG and other spinoffs for the late 24th century. Perhaps the early 24th really was differently marked in terms of stardates?