"Yes, but that's not why the new Enterprise in STIV had a registry of NCC-1701-A. It had that registry because they needed something to differentiate that it was a new ship and not the old one. They could have easily decided to go with 1701-2, 1701-II, or 1701.1 for that matter
...and since we had never seen the first USS Constellation
NCC-1017, there really wasn't any need to add an "A" to Matt Decker's starship which was possibly named and numbered to honor the achievements of the previous Constellation.
Thank you, "Sir"
The case of Yamato's
original NCC-1305-E prefix clearly shows they wanted to do something similar like NCC-1701-D. Yes, they did change the registry scheme (just as they did for the two Valiants
of the 23rd Century), but it nevertheless cleary hints that USS Yamato
was named after a previous ship of that name, too, and the registry of the first one seems to have been NCC-1305.