Beyond was totally approached to try and avoid Star Trek where possible. At one point, I recall, it was suggested to create a heist movie and just populate it with Star Trek characters. Even one of the earliest drafts of the scripts was rejected as being "too" Star Trek. In the trailers, the words "STAR TREK" above "BEYOND" are far less prominent and even fade into the title last.
The initial teaser trailer for it was to try and make it seem like a Fast and Furious film and the continued use of Sabotage. I know that song does appear in the 2009 film and one could say it was just a nod to that one, but, it's painfully clear Paramount was trying to not reveal it was the Star Trek brand until the last second.
They weren't trying to avoid it entirely, but, they absolutely were downplaying it as much as possible.