No, it does not say that anyone "embraces" their ideas, but you are professing to be in a unity of faith, so that's implicit. You're saying that you basically share the same faith as ... Bergoglio and co-exist in ecclesiastical communion, which Traditional Catholics most certainly do NOT do. You, and here +Lefebvre, are completely UNDER-stating the significance of the "una cuм". As is often the case, the truth lies in the middle.
Stuborrn, you are and have long been as much a problem on the dogmatic R&R side as the dogmatic SVs are on their side, an obstacle to any rational consideration of the matter, and a polarizing force, leading to unnecessary division. You're as insanely dogmatic an R&R as the SVs on the opposite extreme.
You know that the election of the pope is an act of the Church's Administration. You know that it is not an act of the Church's infallibility. As such, the one who is elected according to the law and who accepts his election is the pope. Period.
You know that the Church tells us that to omit the name of the pope in the canon of the Mass is an act of schism, you know this. You know that the Church tells us that the First See is judged by no one. You know this. Every trad knows this. You know that no one will be saved who is not a subject of the pope. You know this with dogmatic certainty because the pope infallibly declared it in the Papal Bull, Unam Sanctam.
This means that the Church removed whatever obligation we may have thought we had of deciding his status. We should all rejoice and be thankful that it has never been nor is it now on our list of things we must do to get to heaven. The Church does not permit us to decide his status. Simple.
You know that sedeism is nothing more than a private judgement, morphed into a dogmatic fact which decides against the pope - which is against Canon Law. IOW, we are not permitted to do what sedes do because the Church says we are not allowed to do it. The Church forbids us from doing it. On that account alone we are not permitted to decide his status - because that's what the Church told us in no uncertain terms. It's just that simple.
Not even the altar boys during the Mass know for sure if the priest mentions the pope's name or not, but the Church says that the priest has no choice, that he must say it and She does so with no disclaimers, and no ambiguity, and under penalty of schism if he omits it. No matter what he thinks about the pope, no matter how he feels about the pope, the Church explicitly forbids the priest from omitting the name of the pope in the Canon.
I will continue to repeat the same facts because it's what the Church teaches. If that is insanely dogmatic R&R to you, then you will need to post quotes of the Church contradicting herself.