This "people hate it because it's 'woke'" line has been repeated via the media over and over from when Disco started.
I'm not saying there's zero people saying that, but whenever I talk to someone in real life who doesn't like one of the Disco-era shows, it's never because of 'woke'. Maybe my circles have been blessed to be curated well enough to avoid the anti-'woke' folks, but because of that, it's always felt odd that the instant one of these shows doesn't meet the executives' KPI expectations that there's another article saying "people just hate progressive television".
There's a part of me that wonders if the PR team for the franchise is putting out these kinds of articles to try and guide the conversation away from criticism about writing, format and direction that I largely hear discussed and into this because they know a vast majority of the fans will bristle at the idea of something being criticized for being progressive and speak against that instead of voicing their other critiques.
Admittedly, that's a bit conspiratorial, I just don't ever run into these vast swaths of anti-progressive Trek fans. I do run into many people who have other critiques of the Kurtzman-era Trek shows, but not people mad at them including representation for minorities in it.