In the real Star fleet, there would had been a starship name Enterprise, that was in service between NX-01 and 1701.
While I'm not for or against another Enterprise
, I don't see there being a problem with a gap between ships...
The U.S. just retired the aircraft carrier USS Enterprise
and there won't be another one in service before 2025 at the earliest. In universe, there was no Enterprise
from 2344-2363 between the NCC-1701-C and NCC-1701-D.