That's exactly how the NX-01 should have looked from the beginning.
I hate it. Amongst other problems I have with it, I just don't think that there should be such a clear lineage between the NX-class and the
Constitution class. Human ships should be only be one of four different lineages -- Vulcan, Andorian, and Tellarite -- that all lead to Federation ship classes.
To be fair, that criticism also extends to the Andorian, Vulcan, and Tellarite designs. Okay, we all love the Vulcan ring ships, but Andorian and Tellarite ships should have both looked like they had important elements that later went on to be used in the
Constitution class.
That's an element I feel is handled a lot more interestingly in the Star Fleet Universe than in the Franchise, personally.
In the SFU, Terran ships don't have the saucer-and-nacelle designs seen for the later unified Star Fleet hulls - and neither do the other pre-saucer ships from other member planets, either.
Plus, there's more of a point made about the technological and logistical elements which made the unified designs successful, in comparison to the planet-specific ships (with a few exceptions). The single-species ships were mostly upgrades of Non-Tactical Warp 'sublight' designs, which already put them into territory their original designers had not prepared for.
In contrast, the saucer-and-nacelle ships were built to use Tactical Warp from the ground up - and unlike the older ships were standardised in a manner which allowed them to be built and maintained across the Federation. Plus, while the first such ships were built at Earth, the design was one intended to not show overt favour to one planet's design heritage over another. However, it would not be until the second generation of Star Fleet ships for the unified fleet to integrate certain technologies which the Vulcans had developed on their own hulls - but even before that happened, the shift to the unified fleet was irreversible.
While a few notable Terran designs were given upgrades and served into the SFU equivalent of the TOS era - and, indeed, became the basis for a fleet built by a 'lost colony' in a more distant part of the galaxy - the newer ships had become the cornerstone of the fleet.
Further, the evolution of the Federation's separate navies into a unified Star Fleet caused a political shift, too. The major member planets retained their own squadrons of National Guard ships for local defence, but it would be Star Fleet which would be at the vanguard of the UFP's space-based presence - and the federal authority on Earth, which the fleet was beholden to, where the balance of power would shift.
(Something similar happened in the
Inter-Stellar Concordium, too. The older ships flown by the five planets which would found the ISC were gradually replaced by a unified fleet, the operation of which would help drive the shift within the Concordium to turn it from an alliance into a government.)