Granted, we know that the original (well, refit) Enterprise
was destroyed and a new ship named Enterprise
was commissioned only a few months later. However, that was a circumstance in which it was destroyed on purpose and no crew members were lost in the destruction. I doubt Starfleet would be so callous as to have a ship suffer a massive loss and then commission not only a new ship, but the first ship of a new class, with the same name only a few months later.