He's the most famous rich person on the planet, he was in an Iron Man movie, the president picked him to destroy the government, the list goes on. Of course he gets press coverage. Tesla doesn't even have a PR department.
I mean, let's be real - Telsa almost definitely has at least a whole PR department's worth of people who do PR kind of things, I'd bet they just don't call them PR or have a dedicated department for that PR so he can keep saying that...
Or who knows, maybe they actually just do have a PR department - plenty of stuff Musk has said has just been plain untrue, like when he promised that like his money was first in to Telsa, it would be "the last out" [1] (he has since sold billions in shares now).
I don't know if they're still sending poop emojis, but "public relations" is a term that encompasses more than "press relations", and "press relations" itself encompasses more than answering questions in email.