[LandOfTheFreeHomeOfTheBrave]

If nothing else, the fact that HC is a sitting US senator and possible pres candidate, would be in direct violation of the spirit if not the the letter of Article 100:


Article 100
1. In the performance of their duties the Secretary-General and the staff shall not seek or receive instructions from any government or from any other authority external to the Organization. They shall refrain from any action which might reflect on their position as international officials responsible only to the Organization.

[twigs]

I agree with your assessment. However, I have never known the letter, much less the spirit, of any law that stood in the way of their goals to stop them.