You are right; it is not a SSPV thing.
Many SSPX-ers were and are Birchers or supported JBS.
But the SSPV is still masonic at its core.
Only a few years ago the SSPV got involved in a greedy lawsuit. A kindly benefactor had donated a large painting of Our Lady of the Angels. They decided to sell it for $450,000. The buyer eventually re-sold it for about $2 million. So they got angry and attempted a $51 million lawsuit, claiming they were ripped off.
(did the benefactor who gave the nuns a beautiful painting for their inspiration at the convent get ripped off?)
They went all over the news and media, damaging the reputation of the art dealers, and damaging their own reputations as well.
SSPV made hundreds of thousands of dollars profit from a donated painting, which the buyer had professionally conserved and re-framed (6'x9' elaborate gold leaf)
If that's not masonic, I don't know what is.
The jury ended up making SSPV pay $325,000 in defamation damages to some of the parties they had injured in this scandalous and long legal battle. The judge had some choice words about Bishop Kelly.