I've never been in the military, but I doubt recruits are allowed to show up wearing full makeup and long flowing hair to shoot internet videos without at least the authorization of their superiors. And I doubt their direct superior has the authority to decide that by themselves. You never know which classified information can be guessed from a single picture, much less a series of videos.

As for the "droves of young men", propaganda works. The fact that the military had cooperated with 10k Hollywood Films attests to that. They may not join for her, but it all adds up in the effort for painting military life as cool.