If the stigma’s still there, it’s definitely lessened.
There's something of a roundabout effect here though... Star Trek is significantly less popular than it once was, so there are less overt Star Trek fans, which may lead to the perception of there being less of a stigma.
As both a Star Wars and Star Trek fan... I can anecdotally attest to the fact Star Trek definitely has way more of a stigma. I can have at least base-level conversations about Star Wars with people who aren't really fans at all... Star Wars has successfully penetrated the mainstream at least to an extent.
Bring up Star Trek and I get that like "oh, nerd" glare.
My fiance is kind of funny. 100% totally not into any of this stuff. She will tolerate Star Wars and will hang out when I watch things. Star Trek? Nope, I know better than to even try to bring it up. Although I did fall in love with her all over again... I was begrudgingly watching Discovery and she was hanging out in the room with me doing something else, and she had to stop me and be like "What the hell is this? It's even worse than the others ones." My heart.
(Tangent story, she was present the end of PIC S2. When Picard hugged Q she was like, "I don't know what's going on, but I can tell that was a big deal and seemed really nice." <3