So ... not sure what you're smoking, but the validity of particular Sacraments has absolutely nothing to do with the Pope question. As for dogmatic SVism in general, the problem you have is that you ignore the fact that there are other premises in your conclusion that are not dogmatic, but the dogmatic SVs ignore them.
In practice, however, MOST R&R types do deny the dogmatic MAJOR premise and are losing the faith, but not all, and specifically, Archbishop Lefebvre, whom they falsely hide behind to justify their error ... explicitly affirmed the MAJOR premise. That's the unfortunate aspect of the Archbishop's legacy, where he failed to emphasize his reasoning enough, resulting in many of his modern followers having become thinly-veiled Old Catholics. +Lefebvre had more of a D&R position, "Doubt and Resist" ... which is perfectly acceptable.