I don't think the movie attracted any new fans. Lets be honest here. Just because people went to see it does not mean that they suddenly became fans.
I've met plenty of them. And CBS reported that sales of all ST boxed DVD sets - not just TOS - were extremely good in the year or so after the movie came out. Seemingly, lots of new people went hunting for what they'd missed after seeing JJ's movie as their introduction to ST.
Rather like what happened to me after discovering TMP in December 1979.
If the fans hadn't been harassing Paramount on a constant basis, we wouldn't have even gotten TAS...
I dunno. Lots of 60s TV shows became animated series in those days: "Batman", "Happy Days", "The Brady Kids", "Lassie", "Tarzan", "Gilligan's Island", "Gilligan's Planet"...
Filmation approached Paramount and NBC, not vice versa.