I think it's OK to have a contractual stipulation that you won't do anything to embarass your employer, especially if you're in a management or leadership posit

I think it's OK to have a contractual stipulation that you won't do anything to embarass your employer, especially if you're in a management or leadership position. That being said, I don't like how universities pick and choose on what to defend as "free speech" and what to double down on... They need to be consistent and clear.