Actually an anthology format would be exactly what a logical approach to
Enterprise's basic premise would require!
I did somewhat enjoy watching Enterprise on DVD after the series was cancelled. I think it was indeed getting better toward the end, for the most part.
But--the whole idea of focusing on one ship that manages to be present at all the action of its era was absurd. The whole point of early Trek is, the ships are slow, communications are nil--every ship is on its own adventure, and every one takes years to go out, return, and tell its story.
It was perfectly clear in TOS and more so in TNG and after, the early ships were like sailing ships in the early age of exploration. They'd set out. Some would come back. Until they came back no one on Earth knew what they heck they'd been doing out there. A great many TOS episodes were based on the premise that some early exploration ship, usually a century before, had come to grief in one way or another, and Enterprise NCC-1701 was the first to find it or any clue what had happened to them.
Using the Okuda timeline books published in the mid-90s I got my own picture of what it was like in those early founding days. The Daedelus class of ship, mentioned in aired canon, and illustrated in the Paramount published books (which was in fact based on Roddenberry's early draft design of Enterprise for TOS) would have been the ships, with a maximum speed (based on extrapolation, plus Paramount publication information) of around Warp 3 or so--no matter how one defines "warp speeds," they'd have been much slower. A "five year mission," going by Sternbach's plot of warp speeds and ignoring "warp corridors" and "Cochrane factors" and so forth would have taken them on loops about 60 light years in diameter; given the great density of habitable worlds and indeed humanoid species living on them in the Trek verse, that's plenty of opportunity to meet space babes! But it would take each ship months to go from one star on their agenda to the next.
Either they have no subspace radio at all (TOS implied that was a rather recent invention) or it's unreliable and restricted; they often have only the alternatives of dispatching a speed-of-light radio message as backup to their hopes of showing up in person to give their reports.
No Transporters. No Phasers. Or either in very primitive form! I was amazed when Broken Bow, the first Enterprise ep, decided to nod toward the idea this was after all 100 years before TOS by scrapping the bloody
tractor beam; the one most reliable technology on any Trek episode is the dang artificial gravity!

And more seriously, warp technology itself relies on gravity manipulation; tractor beams should be elementary tech for any warp-capable civilization, no matter how lame their warp units are. So AARGH!
I didn't think it was crazy to have some kind of transporter, but I thought it should be way clumsier. Say, the entire bottom of the primary hull (if this were a Daedelus, the primary hull is a sphere) is a big dish antenna that has to be aimed at the transport target; the process takes longer, and is not stealthy at all--Roddenberry's original idea was that Transporters used visible beams of light and indeed what became the standard "ship firing phasers" special effect was meant to be the transporter beam in action. Also, shorter range. So basically you can't just beam down on a whim; the ship has to be maneuvered into place, a place it can only be in briefly due to orbital mechanics, so it's an operation, and a very visible one.
So--an anthology series. One ep joins one ship having an interesting encounter somewhere, another is back on Earth watching some development or other, another joins a colony that is trying to solve some weird problem all on their own, with help from Earth years away if ever; and so on.
It would probably be the worst of all the worlds discussed thus far; they would rarely be able to reuse props from previous franchise episodes; they'd have no recurring cast to speak of; the Temporal War would be a very inappropriate way of tying it all together.
It would fail as TV.
But it would make some sense!
Obviously that doesn't count for anything.
