Sort of ... it's not quite the same "una cuм" formula, but they pray for the "Pope of Rome".
I disagree with the "una cuм" position anyway, since it's not what the dogmatic anti-una-cuм types hold it to be. Ironically, one of the two or three most anti-una-cuм group happens to be that of Bishop Sanborn. But, as a sedeprivationist, one could EASILY make a case for inserting the name there due to his being a material pope. Fr. Chazal, who's position is a slight variation on sedeprivationism, refers to the [material] pope as a "visible sign" of unity, i.e. just saying, "I'm a Catholic and profess submission to the pope."
St. Vincent Ferrer offered his Masses "una cuм [the wrong guy]" for quite some time. In no way were those Masses displeasing to God due to material error.
Many moderate SVs, SSPV and CMRI, believe that you're not somehow formally adhering to Bergoglio's schismatic AntiChurch by assisting at a Mass where the priest puts his name in there. Besides that, what the priest does is between him and God.
Dimond Brothers had a good study on the matter, and they are about as dogmatic SV as they get.
I have no issues assisting at Ukrainian Catholic churches if I feel the need to benefit from the Sacraments.