If someone were illegally logging timber would you need a camera to notice that? Or by ‘management’ do you mean they want to watch the trees grow?
You’d need the camera to notice the logging if you hadn’t been there lately, and aren’t going to get there any time soon. The rangers have big territories to monitor.
As I understand it, from reading a government agency handbook awhile back, the reason the Forest Service exists is not to please the public. It’s to manage the forest. The campgrounds and trails and such are all secondary in priority to that. You might well ask why the Forest Service exists or why it has this job. [I rather assume it dates back to a time when a lot of timber would have been needed for waging war.] But since the USFS does have this job, it may as well do it more cheaply and efficiently.