The main problem with any theory about it being a new ship is that in Star Trek III (only a matter of months in screen time before 1701-A's ''launch''), Starfleet was talking about mothballing the Constitution Class, or at least Enterprise herself:
MORROW: I'm sorry Mister Scott, but there will be no refit [...]The Enterprise is twenty years old, we feel her day is over.
But Morrow is only referring to the Enterprise in particular, especially right after it was heavily damaged. And Morrow's dating stupidity aside, the ship was much older than 20 years since it was a refit of the TOS Connie. The Ent-A could have been a newbuild TMP Connie, and based on the interiors it probably was brand new. And right after hearing that it was going to be decommissioned, there'd be no reason for Kirk to believe it would continue in service with another crew unless he knew it was going to be recommissioned again later. (Yes, I'm aware that his statement was meant to foreshadow TNG, but taking him literally, that's how I interpret what he said.)
Last edited: