A very interesting take on the "ringship." As some of you know, I have a personal interest in this as well, though I chose to model the "Spaceflight Chronology" version instead of the original Jefferies version.
One critique I got was that my version was larger than most people expected it to be (actually longer than the Enterprise, but not by too much).
We have reason to believe that Jefferies' design was intended to be a smaller crew (basically, as I recall, a crew of about a dozen, total?)... which would have eliminated the need to have lots of sets, reconfigure existing sets to fake other sets, or to have lots of (costumed) extras walking through the corridors.
But, of course, that ship design was never intended to be used in Star Trek. So when, in 1979, we saw it (distantly) on-screen, there was a ton of variability available.
I, PERSONALLY, like the idea of this being a bigger ship than the Enterprise, at least insofar as dimensions are concerned. It seems that your ship would actually carry a larger crew, so it's really many times larger than the Enterprise. Much more than 1.5 times.
I mean... the sphere you have there has twelve visible rows of windows. And there are at LEAST another ten decks in there. So that's a 22-24-deck high sphere, more than twice the depth of the Enteprise's primary hull, and nearly 2/3 as large in diameter.
This thing is probably something like 14x longer than the Enterprise, in other words.
I think that's probably "overkill," if it's intended to be a predecessor to the Enterprise. I'd be inclined to give that sphere eight or less total decks, if it were me.
That said... having a HUGE ship isn't the same as having "more advanced ship." So the fact that this ship is just massive doesn't inherently preclude it from being Pre-TOS.