Send those emails to the arbitrator! They need to be included as evidence. That is absolutely not cool and sounds like his "Cooperation and patience will go a long way with us.. " could possibly be considered a threat.You'll be contacted by a Tesla lawyer who will try to persuade you to be "patient and cooperative". He'll ask you to drop this pesky arbitration suit, and tell you "he's coordinating with your service center". When I made a proposal for a written agreement to drop the arbitration, he claimed "No matter if you win or lose, Tesla will perform a repair - the outcome is going to be the same". He conveniently left out the timeline under which a repair would be performed outside of arbitration. He stopped responding when I made it clear that I want this issue fixed within 30 days guaranteed. (This is the second screen in this vehicle, and I've waited for almost 9 months in total with just this issue in this one car. I've had the same issue in another vehicle).
He tried to pressure me by saying "Cooperation and patience will go a long way with us in terms of this or other concerns you may have with your Tesla." He later claimed he wasn't saying Tesla would blacklist me - but yes he clearly was trying to make me feel uncomfortable with requesting arbitration.
After several emails back and forth, it's clear to me that this guy's job is literally just to try to delay or end warranty arbitration requests to try to save Tesla money. I guess Tesla must think it's profitable - probably because they know they're going to have a lot of arbitration. But I don't understand how this could be more profitable than just changing out screens.