I like the exposure of tyranny as much as the next guy, but that article is terrible journalism and misleading as the permit system is only for those photo and video shoots that require sets, artificial lighting stands, etc. or are to occur in areas that are otherwise closed due to safety concerns (like the brink of a waterfall for instance).
Here is the definition of the affected activity:
Still Photography. The use of photographic equipment to capture still images on
film, digital format, and other similar technologies on National Forest System lands
(1) Takes place at a location where members of the public are generally not allowed
or where additional administrative costs are likely, or
(2) Uses models, sets, or props that are not a part of the site’s natural or cultural
resources or administrative facilities.
and the permit system does not pertain to:
(c) A special use authorization is not required for noncommercial recreational activities, such as camping, picnicking, hiking, fishing, boating, hunting, and horseback riding, or for noncommercial activities involving the expression of views, such as assemblies, meetings, demonstrations, and parades
This system tries to offset problem that arise when, say some oil company does a print campaign in the Colorado Wilderness where they have to set up a crane for a shot or something, not you or me documenting our hunt or National Geographic doing an article on active volcanoes or the like.