I found the following at Novus Ordo Watch, which has the great habit or tradition of quoting.. go figure..
past popes, some of them canonized saints like St Pius X (and for whom the SSPX was named).
OK, so at that site we see how WRONG the SSPX are to accept the authority of the modern popes (all those after Pius XII) while at the same time resisting him, rejecting his bizarre teachings (yes, I know, Francis's teachings are not ex cathedra... That doesn't matter here).
The SSPX call it Recognize and Resist. But NOW (novus ordo watch) blows that position out of the water with.. again, quotes from past popes (the pre-Vatican II-non-heretical-Council popes).
Which group do YOU trust?
NOW calls this position "having your pope and beating him too" LOL
Pope Leo XIII who had one of the longest pontificates in history (1878-1903) put forth the truly Catholic position RE the authority of the pope and the local bishops, and the proper respect and submission that the faithful are required to render them--since they speak for Christ: "He who hears you, hears Me." ---Jesus
The SSPX.. .out of ignorance as to how illogical they are (in disagreeing w/ the saintly pope Leo XIII by not submitting to "Pope" Francis's teachings, yet at the same time not going so far as to hold that F is not a true pope), are in schism.
If the TRUE pope is infallible as per traditional Church teaching (my thoughts here), and someone who purports to be pope comes along and teaches falsity, it just stands to reason that he is not a true pope despite all appearances to the contrary. This paragraph is mostly my own thought, not speaking for NOW except that NOW is what got me thinking about all this..
So in other words, all those Catholics who resist and reject "pope" Francis's teachings, yet hold that the novus ordo Church is still the same Church we had for 1960 + years before the heretical Vatican II (but few Catholics call it that) should (NOW words)
"get off the fence!"