That's fine and I think its pretty much the perfect example of a solid professional relationship (no need to be buddies or "like a family") and what greatness can be achieved when you work with same endgame in mind. They may have disagreed plenty but only because they wanted to achieve the best outcomes possible.
While they are not friends, if you follow Adam on youtube, you'll realize there is a huge amount of mutual respect between the two, even to this day.
Yes, he does always go by Jamie. Cordlesslamp technically wasn't wrong though, and I think Adam even called Jamie by his full name a couple times for comedic effect.