That's... not at all how it went down. A sizable chunk of Film Twitter / a number of critics hated it from the start, and I specifically remember many of us here on the board not liking it either, out of the gate. I may go back and find the thread, because I wrote a pretty lengthy tear down the night I saw it.
It all started with the lying about Khan thing on the part of the filmmakers, when everyone and their dog already knew Cumberbatch was Khan. That put a bad taste in people's mouths from the start. Then there were all the Bush presidency/Peter-Weller-as-the-villain comparisons, which the writers proudly admitted to, that got all the usual suspects riled up as well. Finally, in addition to the lazy plotting itself (a near exact retread of the first movie), I distinctly remember so many people absolutely hating Kirk getting the super-blood transfusion in the end, essentially rendering him immortal, a plot point that was so ill-received that they completely ignored it for the third movie.
I love this cast, I love the energy of these movies, and there are absolutely aspects to like about the second movie. But my memory of the whole thing is more definitely people disliking it than liking it, from opening night 'til now. I even remember that Abrams had already been announced as director of Episode VI by the time the second one came out, and people not liking it so much that they worried what he'd do to Star Wars. Turns out they were right...