He's right. We all know that Dana is a habitual liar, and at least half of us know that he's a scumbag (see habitual liar for Exhibit A).
Just because Dana talks a bunch of shit to other people doesn't mean he isn't thin skinned/sensitive. The guy has a huge ego, that seems to go largely unchecked, and somebody not bowing down to him is more likely to cause him to hold a grudge than not.
On the other hand, from Askren's perspective, the only way to win probably seemed to be avoiding being a subject of Dana and his bosses, which means not caring about being in the UFC.
That's what happens sometimes with power struggles. Both sides potentially lose/miss out on something in order to stand their ground.