Just a single sliver of indirectly-related memory-paraphrased context which may hopefully be helpful:

I worked for the U.S. government from 2010-2018. In my new-hire handbook, government employees and contractors were directed to not portray a political alignment while working in an official capacity (say, while wearing a uniform or other identifying clothing, while using a government vehicle, etc) regardless of political party. We were allowed normal civilian rights if presenting as a civilian. Some form of administrative action was mentioned if this rule was broken, presumably up to and including termination of employment.