Star Trek canon aside, this movie probably did move the dial on marine protections especially as it applies to whales. The movement to save them had been working for decades, but the amount of public consciousness this movie delivered probably cut a decade or so off the timeline, and that could have been success vs failure.
This seems to be either quite old or just talking about the atlantic population. Wikipedia says the global population is around 120.000. Which is amazing, as there where only a couple thousand left when the hunt was banned in the sixties. Just thought that would make you happy to know.
Edit: just noticed who I was answering to, Stamets will probably not even see this...
It's incredible that their population came back without me even noticing. I had just assumed Asian Waling Ships were going to keep whittling them down all these years.