Is the rejection of authority necessary?
The rejection of authority about any given issue is a precondition to solving problems related to that issue. So if a problem arises in any area in which we do not reject authority, we can never solve it. We remain chronically baulked.
But if we were to reject all forms of authority, we would have to reject the authority of our personal experience. Once we reject that, we have literally no place from which to speak authoritatively.
And that is a very good and necessary thing. Denying oneself, as well as others, a “place from which to speak authoritatively” is precisely the position taken by Popperians and TCS parents. Note that we do not say this authoritatively. You should accept it because, given the strength of the argument (which you will find elaborated in Popperian philosophical writings),
you will consider it true. To see this you may have to reject someone else's authority, though.