Originally Published: 21 NOV 22 10:20 ET

Updated: 21 NOV 22 15:51 ET

By Brian Fung, CNN

(CNN) -- Conspiracy theorist Alex Jones won't be returning to Twitter and will remain banned from the platform, according to its new owner, Elon Musk.

Musk declared on Friday that Jones' account will not be restored, in spite of some users' requests, and spent the weekend defending the decision even as Twitter moved to restore other suspended accounts including that of former President Donald Trump.

"No," Musk tweeted flatly in response to one user's call for Jones to be reinstated on Twitter.

Musk elaborated on his position Sunday evening, citing Bible scripture and his own personal experience with Sudden Infant Death Syndrome to explain his opposition to Jones, who has been ordered to pay hundreds of millions of dollars in damages for his lies about the 2012 Sandy Hook Elementary School shooting.

"My firstborn child died in my arms. I felt his last heartbeat," Musk tweeted. "I have no mercy for anyone who would use the deaths of children for gain, politics or fame."

The announcement on Jones prompted a flood of replies, with some Twitter users commending Musk for continuing to deny Jones a platform while others, including some of Jones' own self-professed supporters, said it showed Musk's inconsistent and arbitrary support for free-speech principles.

After one Twitter user criticized Musk's decision and expressed disappointment that Jones would not be allowed back on Twitter, Musk replied: "Too bad."

In a response video posted Friday to the alternative video site Rumble, Jones said he didn't care if he was allowed back on Twitter, and listed various other digital platforms where his content remains accessible.

"Don't blame Musk at the end of the day because he didn't bring me back," Jones urged his followers. "I'm the most controversial figure in the world because I'm the most threatening to the new world order. So don't expect him to bring me back on day one."

While Musk appeared to draw a line at Jones' conspiracy theories on school shootings, he has taken a more permissive stance on Covid-19 misinformation. On Monday, Georgia Republican Rep. Marjorie Taylor Greene said her personal account had been restored after it was banned from Twitter at the beginning of the year for repeatedly violating platform policies on Covid-19.

At the time, Twitter had banned Greene over the sharing of a chart misleadingly linking deaths to the Covid-19 vaccines, despite authoritative scientific research demonstrating the vaccines to be safe and effective.

"My account is back," Greene tweeted from her official congressional account. A visit to Greene's personal profile on Monday afternoon showed that her tweets were indeed once again visible.

Greene herself has drawn criticism for her support for multiple fringe beliefs, including previously her endorsement of a conspiracy theory that claims the Sandy Hook shooting had been a staged event. Her account was also observed "liking" social media posts calling for House Speaker Nancy Pelosi to be put to death and tweeting that she hoped Pelosi would lose her memory sitting in prison.

The decisions underscore the chaotic and seemingly improvisational management style that has characterized Musk's ownership of one of the world's top social media platforms.

Musk's decision on Jones, issued abruptly and with finality, contrasted sharply with the billionaire's approach to Trump — which was based on an unscientific Twitter poll whose results Musk tried to portray as the will of the people, even as he suggested the poll was being manipulated by anti-Trump bots while voting was still open.

The account decisions also appear to backtrack on his promises not to make any "major content decisions or account reinstatements" before convening a new content moderation council. On Nov. 9, Musk told advertisers during a Twitter Spaces event that it could be months before the council meets for the first time.

Musk's approach has now raised fresh questions from users about the rubric he will use to determine the future of individual suspended accounts — a decision matrix that users increasingly perceive as grounded in Musk's personal beliefs and driven by his whimsy, rather than by objective free-speech principles or clear terms of service.