Well I can’t say I’m a fan of all of Eaves’ work - especially the modifications to the Enterprise B...
But I’m not sure what it is about the E I like. I should perhaps say at this point that FC is my favourite Star Trek film, that I grew up on TNG, and that I was somewhat younger when I first saw FC at the cinema - so some of these factors may be influencing my judgment when it comes to the Enterprise E.
I must also admit that I prefer the physical FC model that I think had slightly smoother lines than the cgi versions that followed (especially the nemesis refit).
But, phaser to my head, if I had to explain what I like about the E it’s mainly the sleek profile that incorporates the necklessness of the intrepid class, and I think she’s more balanced than the intrepid as the E has those long nacelles. I preferred sternbach’s original nacelle designs on the prototype of voyager to the tiny ones - although I understand the logic of the tiny nacelles and I love the intrepid design too (though not voyager as a show - the Bellerophon was my favourite in “inter arma”...!). I also liked the stepped nature of the underside of the E primary hull as I thought that helped give a sense of scale to the ship as you could see where the decks are at. I agree the E doesn’t look as good from quite as many angles as the original Connie, and she’s not my favourite Enterprise design - that would have to be the 1701D (and again my tng favouritism from my youth is making it impossible for me to be impartial there) - but I always liked the 1701E.
Anyway, bringing this back to the topic of the thread - I see where you’re coming from when you say:
“He loves layers and cutouts and greebles and garish aztecing and extraneous details. He hates anything resembling a smooth surface or an elegant uninterrupted curve. He doesn't comphrehend that "form follows function" or that "less is more"
In relation to the DSC Enterprise redesign. I don’t like the fins on the underside of the nacelles, the recessed bit where the registry is with the floodlights (although in a universe where every ship has a freaking window at the front of it, headlights to blind the enemy make all the sense), the 100 year old nacelle design that harks back to the nx class for no reason other than the fact that ENT was a thing, and the larger impulse engine assembly are all things that I find unnecessary in the design.
I think Jefferies’ head was in the right place when he designed a smooth, clean starship unemcumbered by greeblies and gave Star Trek a visual identity for its ships - federation and alien (the prime D7 and romulan BoP were also smooth as an android’s bottom), and so were the TMP refit and Enterprise D for that matter - it wasn’t until the godawful 4 foot model of the 1701D that the aztecking was *that* pronounced (seriously I hate that model. Who cares that the 10 forward windows don’t look right... well, I guess we do, but make a better model dammit).
The prime 1701 design was way ahead of its time in my opinion, and still is (I know many won’t agree but those arguments have been made and remade to the point of them being rendered moot at this point) and the changes Eaves has made (or been made to make) do nothing for the design other than to make it align with the rest of the DSC aesthetic (which looks like it belongs in the 24th century anyway).