The Church is inerrant in her theological teaching in faith and morals. There is no broad “inerrant institution” claim.
Vatican II was controversial, but it did not produce any “swings in doctrine”. It is often described as pastoral council, that had to do with the role of the laity and liturgical reform.
So it is a "Do what we say, not what we do" sort of thing, combined with a papal "Daddy is always right".
That doesn't work on children, why would one suppose it would work on grown adults, especially when "daddy" ain't my daddy?