I don't think so. What exactly was there to ignore in TMP that they didn't want in TWOK? Kirk was still an admiral, the Enterprise was still refitted and Spock was true to his word about not wanting to remain on Vulcan. The story of TMP was all but finished and what new crew members we could have gotten disappeared in the end leaving just the original crew. Nothing was really abandoned.
In the case of Star Trek Beyond, they're abandoning A LOT of things that Into Darkness introduced. The conflict with the Klingons, Carol Marcus, portable transwarp beaming devices and curing death itself. I only say they're important because, duh. THE FILM MADE THEM IMPORTANT. How can you ask us to take anything seriously if none of it is going to matter?
TOS was not a serial. There may have been three or four within-episode references to events in other episodes, maybe not even that many. TWOK, TSFS, and TVH made a nice trilogy, but they were the exception, not the rule. The TNG movies didn't reference each other, either.
The Klingons, Marcus, transwarp beaming, and "curing" death are easily explained away.
-- They are in a Cold War with the Klingons. At any time during the real US-USSR Cold War there were people in the Pentagon calling war inevitable and times when the conflict did heat up. But war didn't happen and flare ups cooled down. In that ebb and flow, the rest of life went on and other interesting things happened.
-- Marcus obviously transferred off the Enterprise some time during the first two-and-a-half years of the mission. Maybe they'll be a throwaway line to that effect in STB (if it serves anything relevant to the story), or we just live with the assumption that Kirk has had yet another relationship (if there even was one) go sour.
-- Transwarp beaming happened twice. Both were exceptional circumstances. Yes, the technology exists, but it's easy to say it's probably still too problematic to be used regularly and reliably in the fleet. Could be Kirk, Scotty, and Khan had a fair chance of never rematerializing, but took the risk under the circumstances.
-- We don't know "how dead" Kirk was. People are "brought back" today. It's also quite likely that what McCoy did was extraordinary, and could not be something replicated in a way to say a "cure" for death had been found.
Explanations abound!
