I'm skeptical. The beltway bureaucracy is a natural constituent of Democrats and their big-government social engineering ideas. They're well entrenched and well versed in the ways of Washington and can sandbag a investigation into oblivion if they want to, particularly if they get a little help from their liberal/Democratic allies in the legislature. The deck is heavily stacked against any conservative investigation of the actions, policies, and agenda of the bureaucracy.
Again, you might be right. But in the meantime, the press that such an investigation would serve to make more and more people aware of the scandal. These things sometimes have a way of snowballing and getting completely out of the hands of big-government bureaucrats. Having said that, I don’t doubt that they would fight such an investigation with everything they have.