This premise is ridiculous. Every president places bureaucrats in every political institution that cannot be fired when their presidency ends. Madeline Albright and Robert Reich to name two were buried in the State Department by Jimmy Carter. There they remained until Bill Clinton became president and raised them up to be in his administration.
These employees are classified in such a way that they can remain working in the government.
IIRC, Linda Tripp was the only employee that was not protected by Bill Clinton.........for obvious reasons.