The strange thing about the Star Trek Beyond trailer is that it actually looks like TOS. Justin Lin has talked about watching the original series and you can see it on screen.
It’s the first movie since Insurrection and ST6 that isn’t obsessed with an attack on Earth. Instead the crew crashes on a bleak planet. There are strange aliens, conflict and resolution. That’s a whole lot of TOS episodes right there.
Just having a movie focused on an alien planet, instead of another race to save Earth is already closer to Star Trek.
I don’t know the plot so maybe I’m completely wrong. But with Abrams back to his first love of Star Wars and Simon Pegg doing more of the writing than Transformers hack Roberto Orci, Star Trek Beyond might actually be closer to Star Trek than to Abrams Trek.