Yes, but if TVH hadn't been (in the words of Shatner on Saturday Night Live at the time) "a huge hit," people wouldn't have been interested enough in TFF to make it number 1 for a week.
Also since TVH was a huge hit, Paramount decided to go ahead on making TNG on tv.
No, the timetable doesn't work.
Development of TNG
overlapped with the production of The Voyage Home
was a reaction to Star Trek II
and Star Trek III
that rode the publicity wave of Star Trek IV
and the 20th-anniversary.
It was after Star Trek III
that Paramount decided they wanted a new Star Trek
series. They asked Harve Bennett to produce and he passed. They asked Nimoy and he passed. They asked Greg Strangis, and Strangis said yes. (The little we know of Strangis' work is documented in David Alexander's Star Trek Creator
; riffing on Star Trek II
, it was apparently cadet-centric.) In any event, Roddenberry came in late to the process; either Paramount found Strangis' proposal unworkable or Roddenberry made a political move to get himself dealt back in at the table and Strangis shown the door.
While Roddenberry's work on TNG
began in 1986, the intent by Paramount went back well before the film. It's only the coincidence of the calendar that makes it appear that TNG
was a reaction to the most recent of the films at the time, Star Trek IV