I don't agree that not mandating vaccination in-house is hypocrisy when promoting vaccination counrty-wide, but here you are spot on.
In Austria (where I live) the "Three G Rule" is in effect. "G" for the first letters of the words for Tested, Vaccinated OR Healed. I don't know if that is standard all over the EU, but clearly it is understood in Austria that antibodies are antibodies, whether they were produced after having covid or from being given a vaccine.
When US gov't officials lie so obviously about things like this, it is no wonder that people don't trust them.