Musk said he never intended to be CEO of Tesla, and that he didn't want to be chief executive of any other companies either, preferring to see himself as an engineer. Musk also said at the time that he expected an organizational restructuring of Twitter to be completed in the next week or so. It's been nearly six months since he said that.

Musk's tenure at Twitter's helm has been chaotic, and he's made various promises and proclamations he's backtracked or never followed up on. He began his first day firing the company's top executives, followed by roughly 80% of its staff. He's upended the platform's verification system and has scaled back content moderation and safeguards against the spread of misinformation.

Bantering with Twitter followers late last year, Musk expressed pessimism about the prospects for a new CEO, saying that person "must like pain a lot" to run a company that "has been in the fast lane to bankruptcy."

"No one wants the job who can actually keep Twitter alive. There is no successor," Musk tweeted at the time.

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