It's not especially surprising - firstly the Kelvinverse is both much younger and much smaller and secondly I suspect the Venn diagram of those who maintain databases of minutiae and those who hate the very concept of a reboot is basically a circle.
I'd say that characterisation is unfair. (I have argued against reboots in general, and also that the KT is not really a reboot in any regard.) Also, comparing like for like, how many books/fanzines were there by Star Trek III (it's unfair to mae the comparison to TOS....the KT could ride the coat tails of that and other Trek.) or by, in years terms, Star Trek IV? How about by season 3 of TNG? In years season 7? By the time of insurrection, for many a nadir, had these things tailed off regarding the movies? The KT had an existing fan base to lean on, but doesn't seem to have moved beyond the box office. (Pun there...I quite liked Beyond incidentally.)
Even accepting its merchandising was horribly mishandled (the various versions of the home video release for ID as a flagrant cash grab from the fans it had made/borrowed.) it just hasn't quite made it into the zeitgeist in the way even say Voyager did. It got some fanart up on deviantart from new fans, but even that kind of petered out. It has almost zero merchandising activity and little in the way of dedicated fan activity (do we even have a name for its subset, like we do for niners? It doesn't have its own corner on Trek FM last I looked.) Bringing that back into the ship as part of its identity...well...it isn't. It was always in trailers, and to extent in posters, but it hasn't really caught on. Is this because the majority of it is too close to the TMP design anyway? And for the casual public, just a generic Star Trek ship if you are lucky...more likely something that doesn't really spark in their consciousness. (Part of this because the ship is not much more than a couple of effects shots for the trailers in each film...it isn't Kirks ship for much of the first two films, and he is thinking about leaving it in beyond...before it is destroyed and replaced in the same film. It is disposable in a way its predecessors weren't...even the E had more respect in how it was handled as part of the narrative, but not by much.)
Yes...Trek, atypically for sci-fi is quite often more character driven than plot driven (much of the time anyway.) but the tech,the ships (or station) have always been a big part of the whole...for some more than others. I heard the D once described as 'a pregnant duck next to the graceful swan of the original' ...and couldn't see it, because TNG was going to be the new Trek for my age group. Time has borne out a much friendlier disposition from people to the D, but even from the beginning it had its supporters...same as now with DSC, same as with the JJPrise, but the JJPrise has taught us that sometimes things just don't catch in the same way (ENT probably has way more detractors and less love than even the JJprise for the NX01.) Will the design be a problem even if the series catches on? I suspect we have not seen the last refit to that design, and will be very surprised if it catches on wider as an icon like a fair few of the others have.
As a cinematic ship....the KT Enterprise design is a failure. It will not be sitting next to the TMP Enterprise, the Discovery from 2001, the Millenium Falcon, X-wings...Heck...maybe not even ETs pumpkin ship. A decade from now, people will not be making models of it the way those were (or 3D printing it as seems the likely trend in that hobby.) The Enterprise E suffers a similar ignoble fate for different reasons.
As an iconic TV ship, I will be very surprised if the current Discovery design sits near its forebears either...the Original Enterprise is impossible to beat in that regard (though I don't have a lot of love for it personally) and I expect there will be a long list above it for iconic TV ships, including Voyager...but even outliers like original BSG Vipers, The Firefly, Moyà (shows which mostly get less attention than Trek in mainstream viewing or modelmaking...in fact I don't think you even can get kits of the last two.) I have an odd feeling even the Rasa is going to better thought of among SF fans.
The show is going to have to work much much harder with a ship in its lead spot that frankly, love it or hate it, is neither honestly that cool or original to look at.
Scotty found the KT Enterprise exciting....divorced from the excitement of this being the first Trek in ages...the Discovery just isn't exciting. It looked brown in its first showing for goodness sake.
And on that Bombshell...goodnight.