Except that the heightened accountability is part of what causes this whole problem. Contractor bill rates are strictly regulated by non-technical proposal reviewers who live in fear not of a contractor not performing (what are you gonna do, contractors, amiright) but of OMB asking why they didn't select the firm with the slightly cheaper bill rates. The concept of the man-month is alive and well among government proposal reviewers.
Add to that all of the rules that require you to be an expert in government proposals (Google "8a", "BPA", and "USG far") and you're virtually guaranteed anyone who's good and wants to be paid what they're worth will roll out.