Even if it did, they would just replace the workers with contractors.
Chris
Yup, that's exactly what happened under Clinton via Gore. They froze tons of open FTE positions, but then filled them with contractors (who, with overhead, often cost more than FTEs). Because salaries and contractor funds come out of two different pots of money, Gore was able to show how he saved the taxpayers oodles of money on federal labor.
Then a few years later, they started going back in the other direction, so we again have gotten a ton of fed hires over the last few years.