Do today's trainers teach defense and the jab?

I just watched Matia/Jukenbayev. Both guys impressed. Both are good punchers, both have good chins, go to the body well and both are very tough but neither had any lateral movement, not even basic defense, and virtually no jab from either. I think a good trainer could make good fighters out of both but in their current skill sets, I can't see either going very far and certainly not be as good as they could be.