I agree that Lew stepped out of line, however I do agree with his coaching style over JDS, and it at least appeared that Lew had a big impact on the early success of Team Dos Santos.
What exactly is his coaching style?
Junior is not soft with his team at all. I think he pushes them much harder than Brock.
When that dumb Irish guy sort of hurt his knee Brock just decided that no one has to keep training that day. Junior had a guy running to the bathroom to puke from exhaustion and he just said "go quick and then come back." Another guy was exhausted and dos Santos said to keep pushing because no one ever died from being tired.
Junior just is a very caring guy, not a hard ass by personality, but he's pushing his team incredibly hard. He's just not being a dick about it.