If the government wasn’t allowed to hire from private, it would be starved of talent. That would be a great scheme to hobble any agency you don’t like.
Sort of like how many top law students choose between clerking at federal court and joining big law, or do one after the other. And people who become judges often did both. If you ban people who worked in private practice from being a clerk or judge, you would have a lower quality judiciary.
Ultimately, I think you end up with the B team trying to regulate the A team.