It's clear by the drop this weekend that Star Trek seems to have lost 'general audience' viewers.
I read a couple of things on some entertainment and box office tracking sites and the consensus is that while Beyond is a disappointment, it's not a franchise sinker but rather a franchise re-thinker. Paramount is clearly going to have reexamine all aspects of this movie and how to proceed going forward. The most likely scenario is Star Trek 4 which has already been green-lit will face a lower budget my guess is around $130 million (the thinking in Hollywood these days is that you cannot make a blockbuster for less than $100 million).
I don't think this is a total surprise to Paramount though because all indications going into Beyond was that the domestic box office would be lower, but they seem to have been counting on a higher international box office like STID and that doesn't seem to be happening for them. The international Trek records set but STID seems to be a fluke (I think some of the European success had to do with Benedict Cumberbatch who has a huge following).
A couple of sites seem to agree with a lot of the feedback here that Paramount blundered the promotion for this movie. In fact, Paramount seems to have treated Beyond like a dud and seemed surprised that the movie was the critical hit it has been. The last minute marketing campaign seemed to suggest Paramount wasn't confident in this movie. The reaction to the original teaser trailer was overwhelmingly negative and Paramount should have released a second trailer within weeks rather than waiting months, which allowed concern to grow within the fandom. Added to the fact that Paramount didn't take advantage of the 50th anniversary when promoting Beyond. The lack of promotion failed to make buzz around this movie and the little buzz that there was around it until the second trailer came out was mostly negative and added fueled by Beyond's troubled production start.
Added to this is Paramount has been ineffective and keeping the franchise alive between films (the 4 and 3 years gaps are too long in the modern crowded market). I know Star Trek is a different animal than Marvel movies or even Star Wars who have new movies every year but Paramount needed more to keep the buzz going.
Star Trek will never be a mainstream blockbuster, Star Wars wears the crown for sci-fi franchises, but the 09 movie did create a lot of more casual fans but they seem to have slipped away now. I also wonder if Beyond was the right movie for the 50th anniversary. There just didn't seem to be anything special about - it's a good movie but maybe not what was needed for this anniversary.