As far as I’m aware, journalists were only referencing ElonJet, which, as OP established, is only re-publishing already public information.
Despite this, even if you want to somehow argue that it’s against the rules, I reject that claim as well. Twitter’s policies[1] explicitly allow “location information related to commercial property or places of business, where this information is publicly available,” and all of “Elon’s” jets are owned by commercial entities.
Edit: citations showing “his” jets are owned by an LLC:
https://flightaware.com/resources/registration/N628TS
https://flightaware.com/resources/registration/N272BG
https://flightaware.com/resources/registration/N502SX
[1] https://help.twitter.com/en/rules-and-policies/personal-info...