I find this fascinating as a subject, so thank you for bringing it up. I would like to comment about how I've seen it shifting in recent years, just because I find it interesting.
If you take anti-vax as people who have lost trust in public health, then prior to the last President's term, most of the "anti-vaxxers" that I knew of would probably be considered far left wing. They wanted to live a "natural" life and were mostly "live with nature" types. Obviously this shifted with the current strain of anti-vaxxers to a right wing bent.
What I find now is that more of the "COVID isn't over" community are liberals and they're increasingly fed up with public health. So I think we're going to see a shift back to the left in loss of trust in public health, but probably not in anti-vax, if that makes sense.