Musk responded by calling Unsworth a "pedo guy", later tweeting: "Bet ya a signed dollar it's true".
"Your dedication to facts and truth would have been wonderful if applied to that time when you called someone a pedo", posted Drew Olanoff.
"And Musk, I hear you", she concluded.
"Nonetheless, his actions against me do not justify my actions against him, and for that I apologize to Mr. Unsworth and to the companies I represent as leader" Musk said in a tweet on July 18.
Musk's representatives didn't immediately respond to requests for comment.
Billionaire Elon Musk said on Twitter that he wanted Ethereum "even if it [was] a scam" on Tuesday - perhaps as a tongue-in-cheek response to the cryptocurrency scammers who frequent Musk's Twitter.
Times Finance Editor David Enrich, meanwhile, said on the social media site that the paper stands by its description of Musk's emotions during the interview.
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In a tweet to his 22.3m followers, Musk said: "Sorry pedo guy, you really did ask for it". But the missives served as fresh reminders of Musk's erratic Twitter tendencies and reinforced concerns about whether he can adhere to the SEC's rules, now that he's decided Tesla will stay public and continue to fall under the agency's oversight.
He also said the submarine wouldn't have been able to navigate the complex tunnels of the Tham Luang cave complex, adding Mr Musk was not needed and was asked to leave.
Musk said on Friday that Tesla would remain public, but said he believed there was "more than enough funding" to take the company private.
"We will make one of the mini-sub/pod going all the way to Cave 5 no problemo", Musk said in a since-deleted tweet.
The SEC already had been investigating whether Musk's vehicle production forecasts may have misled investors before the regulator started scrutinizing whether he had secured funding for a Tesla buyout, Bloomberg News reported on August 9.
Atlanta-based attorney L. Lin Wood, a prominent defamation lawyer, told CNN Wednesday that he is in the process of "finalizing the libel complaint" and expects to file it "in the next several days" in a Los Angeles federal court.