The missing part of this sentence is "as they exist now". There are other models that exist that could support broadcast and publications. There are other models yet to be explored or that have floundered because they've been snuffed out or avoided because the easiest (for certain values of "easy") path to dollars, right now, is advertising.
It is a pipe dream, of course -- and the author of the piece doesn't really do the hard work of following through on not just how difficult it would be to make advertising illegal, but the ramificaitons. While an ad-free world would be wonderful, that's a lot of people out of a job real quick-like. Deciding what constitutes an "ad" versus content marketing or just "hey, this thing exists" would be harder than it might seem at first thought.