Science reporting is one of those things that I think a formal education could actually help with. Especially since much of the job is dealing with academics and interpreting their jargon and unspoken assumptions for the public. Those are three very different cultures (academic sciences, journalism, mainstream) and it's not trivial to flow between them. Most readers don't have even a rudimentary grasp of scientific methods or statistics.
A large part of our curriculum was looking at the challenges of science communications (especially in regards to climate, but also cultural conflicts, land use, blah blah). The background context in the field was super helpful as a news reader. I can't imagine trying to write good stories with sensible context without that sort of understanding.
Could someone self-learn it? Probably. But I think the risk there is blindly falling into some tribe or another and becoming another controversial screaming head (and some would use the same argument against formal academia).
The more I learned about the field, the more I saw it as a no-win scenario. :/