that's only one part of what they're saying. Sure, conflict of interest is imoral, but telling me I am only allowed to do work for acquaintances and that once in a while... you can gently fluff off. And they keep repeating "a few hours per month", when they pay me for 160 hours out of 700 something in a month :).

The only valid point apart from conflict of interest is this, otherwise they should stop pretending they own my body, mind and soul:

"Does it require you to be away during times when you’re needed at work?"