This is an offshoot from the “Dominicans” from Avrille, France, who were once closely allied with the SSPX, but have since drifted away from them because, apparently, the SSPX were too cozy with Rome for the taste of these “Dominicans.”
This offshoot is, under some incredibly strained understanding of canon law, somehow “recognized” by the SSPX, and given “authority” by them. (This is another apparent example of the SSPX claiming authority and jurisdiction for itself which is rightly reserved to Rome.)
The actual Order of Preachers has nothing to do with these folks.
I know that many Dominicans have drifted in recent decades, some being more interested in social justice than anything else, perhaps. But there’s lots of wonderful, orthodox, and even tradition-minded Dominican and Dominican-run parishes. Don’t play games with the SSPX just to get some good old OP flavor to your spirituality. It ain’t worth it.