Tesla seems to work with different agencies for many of their open roles. My review covers two of them. First from Adecco, second from Walters People.
In short: I've been approached on LinkedIn, responded in a timely manner and in the first case, I never heard back. He said he is going to call the next day, and that never happened, and never got back to me on my follow up messages.
In the other case we got to an initial phone conversation and she promised to keep me posted. Once she wrote "will get back to you asap" and that was a month ago.