Except the new Stargazer has a completely different registry number than the old one. As in an entirely new number, not the same number with a letter added to the end. If it were a refit, it would have the same number as the previous one, or the same with a letter added to it if you're following the Matalas definition of a refit. Since it has a completely new registry number, it would seem the intent was to make it a completely new ship, since it doesn't seem to follow the definition of an actual refit or the erroneous definition Matalas thinks is a refit.
I'm going to skirt away from the prior "definition of the word" thing but I find this interesting.
Is it impossible for a ship to be a refit, but receive a new registry? Even following the strictest definition of refit this still seems possible... an older vessel was updated, not "some parts taken", but the actual vessel itself was upgrade extensively... and then, for whatever reason, given a new registry? It seems like it would be odd, but certainly not impossible?
This next part is 100% speculation, so take that as it is, but i've long theorized that registry numbers are actually tied to the warp core of a vessel, not the spaceframe. If a vessel went in for a refit that was so extensive that it received a new warp core, it would carry a new registry.
The ships name is largely irrelevant, and adding a letter suffix was uncommon up until at least the 25th century, and even then it's still uncommon, with something like the Titan being an exception, not a rule. We have a few legacy ships in PIC that don't have suffix's... Stargazer, Excelsior, etc. It's at the very least implied that Riker was involved with the