Actually, it is your argument falls apart on this point, and confirms mine. As in order to escape from obeying the teaching of Pius X, in which the one duty of the multitude is to allow themselves to be led, and, like a docile flock, to follow the Pastors (and then there is the additional quote(, "we do not limit the field in which he might and must exercise his authority," then you must actually do the contrary, which is that of you deciding whether what the pope said is valid teaching, based upon your judgment of what that is.
Thus as said, other RCs accuse traditionalist RCs such as dissent from part of V2 as basically being Protestant. While traditionalist RCs dissent from certain modern RC teaching based upon their judgment of what valid RC teaching is in the light of certain historical RC teaching, Prots dissent from many RC teachings based upon their judgment of what valid teaching is in the light of what Scripture teaches and warrants.
I actually concur with traditionalist RCs that certain modern teachings stand in contrast with past teaching, however, a fundamental premise of RC teaching is that Scripture, history and tradition only validly consists and means what she says, and thus V2 can define what past valid teaching really was and meant.
As Manning asserted,
It was the charge of the Reformers that the Catholic doctrines were not primitive, and their pretension was to revert to antiquity. But the appeal to antiquity is both a treason and a heresy. It is a treason because it rejects the Divine voice of the Church at this hour, and a heresy because it denies that voice to be Divine.... I may say in strict truth that the Church has no antiquity. It rests upon its own supernatural and perpetual consciousness...The only Divine evidence to us of what was primitive is the witness and voice of the Church at this hour. Most Rev. Dr. Henry Edward Cardinal Manning, The Temporal Mission of the Holy Ghost: Or Reason and Revelation
And you are to follow leadership versus being like Prots in seeking to ascertain the veracity of RC teaching by examination of evidences. And at the least the flock is not to publicly dissent from even non-infallible teaching.
So many Catholics now being their own pope and deciding what to believe and not believe. Don’t they know they are to submit “will and intellect” to their magisterium?
Not only is the teaching in the encyclical “non-infallible,” it has nothing to do with the Catholic Faith at all.
The teaching of the Catholic Church contains nothing about economic science and nothing about climate science.
The Earth has been cooling for 18 years and 6 months. Therefore, the Pope’s assertion that the Earth is warming is not merely an abuse of his office, it’s a hoax.
Nothing Pius X said about the teaching of the Pope or the bishops pertains to their opinions.
The Catholic Church is not the totalitarian, mind-controlling institution you like to pretend it is. This Pope has jumped the shark, and Catholics are perfectly at liberty to say so.