I think that the new film franchise has a good chance of capturing Gene's original intent and feel. The chosen chemistry of the cast feels right so we shall see.
To answer the question that you proposed....who knows. If TOS was given 7 seasons who knows here it would have gone. Just in my opinion here but TOS had limitations due to budget and special effects even though of which can bring a certain amount of creative genius to the table. If TOS had an unlimited budget as well as the technology to visually produce anything back then who knows where the show would have gone. Our vision of what we think that we have today may be altered.