They failed to get his tags issued, they won't send him the documentation to do it himself, and they keep promising to take care of it and then do nothing. He is left with a car he cannot drive legally. Yes, I think it warrants some "vitriol and drama."
Tesla in my experience treats its customers better than almost any other company, but they've failed him in this case and he's justified in being upset.
Telling someone to drive illegally is not an appropriate response to an issue. Sure, he might get away with it. You might get away with robbing a bank, also, but I'm not going to tell you to go rob a bank because lots of other people do it and sometimes they get away with it. Sure, most of us would agree that driving without the proper registration is a less serious crime than robbing a bank, but either way there are risks.
Tesla needs to deal with this and compensate him for the month he's been unable to use his car. Maybe give him free EAP if he didn't already pay for that, or FSD if he didn't pay for that.
To the OP: Somehow, you need to get past the incompetent or overworked people in NV and talk to someone at the national headquarters.