He said the Council didn't issue any solemn dogmas. That doesn't mean none of it was infallible. There is debate on that.
It's non-controversial that where the Council repeated Catholic doctrine that has always been taught it was infallible not by virtue of the exercise of authority, but by virtue of its sustained existence within the ordinary, universal magisterium. On the other hand, where one finds novelty, there is no question of infallibility, nor can there be a demand for religious asssent to subjectivism or when there appears to be error, corruption, defective teaching, etc. It's simply impossible for the intellect to assent due to several factors, not the least of which is total lack of certitude and falsifiable subjective propositions. Even the greatest defenders of the Council can't figure out what's "binding" within the various texts of the Council, yet you come along and tell Catholics, assent damn it or you will be a bad Catholic!