The argument could made that both TMP and TWOK rebooted ST
TMP was not a reboot, but a continuation of the same characters and their experiences from TOS, which is what Phase II was going to be before the production shited gears to feature films. That was the opposite situation of the Berman productions, which dug a grave so deep, NuTrek was the only way to bring ST back.
Remember, fans wanted to see the OS cast and their defined universe return as soon as the series was cancelled. TAS addressed that desire to a degree, but that just proved audiences really wanted more of TOS (not a reboot), and eventually that happened with the further adventures on the big screen.
We cannot say that about the Berman films, because the moment the last episode of the horrible
Enterprise aired, and the last big screen film left theatres, the main fan base or interested parties among the general public were not demanding the return of the TNG/DS9/VOY or ENT casts or universe to return. There's a reason why--not ST burnout, but the tone and lack of quality of Berman (and associates) production.