I can't believe so many people fall for this nonsense. "Non una cuм" was unheard of back in the early days of the Traditional Movement. And even to this day, the majority of Sedevacantists are happy to attend a Tridentine Mass at a non-indult location, such as an SSPX chapel. These sedevacantists are the successors of those early 1970's Trads, who practiced a purer, less complicated form of Traditional Catholicism. These sedevacantists are those who haven't been influenced (in person, or by reading docuмents) by Fr. Cekada.
Remember the 3 points of What It Means to be a Traditional Catholic?
1. Leave the Conciliar Church/Novus Ordo completely behind (regardless of whether or not you have an alternative!)
2. Seek out true priests and 100% sure sacraments/Mass (Tridentine Mass, and a valid priest/bishop who will offer that Mass)
3. Without seeking any permission from Rome, since permission is not required to keep the Faith.
What about the status of the Pope? What about the part of the Canon where the priest has to mention the pope's name? What about the Missale version? What about the different groups and Trad personalities? What about politics? None of these things were an issue back then. Any of that is an ACCRETION or add-on to the core tenets of the Traditional Movement.
If you think that God is going to blame you for attending a Mass where the putative Pope (the Pope recognized by the whole world) is mentioned in the Canon, then you need to learn more about God and the history of the Church. Pay attention to the chapter on St. Vincent Ferrer. Also the part about how God doesn't waste prayers. If you pray for a person who went to hell, those prayers will benefit another soul. Unless you are explicitly promoting and approving of Pope Francis's modernism and/or sins, you are not going to be the least bit guilty. By attending a Traditional Catholic chapel, you are sufficiently separating yourself from the modernism and destruction of Faith. By doing so, you declare you want no part of the new religion. P.S. Fr. Cekada, who invented the "can't mention the Pope during Mass" line of thinking, is a flawed, self-serving priest. He is not infallible and he never had a hotline to God. He invented the "non una cuм" position to remove the competition, so he would be his parishioners' only choice. In Cincinnati, OH (where he is based) there are quite a few Trad chapels within a 1/2 hour drive. So it's all very HUMAN. He's not impartially promoting the truth. More like promoting himself.