Renaming an
Enterprise to something else? Considering how highly esteemed the name
Enterprise is within Starfleet, and also considering the spaceframe of that particular ship would have to be nearly 80 years old (assuming
Generations took place in the year 2293 and
Paradise Lost took place in 2372) and Admiral Morrow wanted to mothball E-Nill for only being 20 years old (an incorrect number by any measure, but just for the sake of argument...), I would personally think it quite unlikely that the
Lakota was (in-universe) a re-branded
E-B.
It would almost imply that the E-B's mission under the command of Capt. Harriman would have been so immensely disastrous - like, accidentally blowing up a whole star system or something - that its name would need to be stricken from the Starfleet ships roster (quickly renamed Lakota) and an Ambassador later rolled into production with the
E-C name - that of Captain Garrett - maybe not immediately after, to let the black mark on the
Enterprise name settle for a couple of decades. I mean, yeah, Harriman was a bit of a dolt but would it have really been
that bad?
Then again, a good re-branding does erase a multitude of sins and ineptitude. Just ask ValueJet...er...JetBlue about that...
Sorry, though, bit of a stretch with that one, I think...