If she's a puppet (she is) she can't make Skyrim soft or hard. Other men / women will rule through her, and do with Skyrim as they wish. From what we've seen, the Tulli and Medes are all badass mofo's, and I doubt that even getting filtered through Elsif would be enough to make their leadership "soft." Add in a little Maeven, a little evil Breton Court Wizard, et cetera, and you might end up with a seriously awesome hardcoe puppet.
What's the chance of Tullius staying there? He is a general not a governor, I would suspect he will be withdrawn from Skyrim relatively quickly...