No, private universities are not "in the top positions" of quality ranking, as Feijoo says.

The PP leader attacks Pedro Sánchez’s wife in his defense of private centers: “If he wants to talk about university quality, he should not favor the creation of a university chair headed by a person who is not even a graduate, who is not even a graduate”Universities in commercial premises, in polygons or without teachers: the ‘chiringuitos’ that Sánchez wants to cut “In the ‘rating’ of Spanish universities, because in the top positions there are…

Pedro Sánchez's government has stepped up against private universities, but several of its leaders have studied privately.