So here is the jailbreak thread for the paperwhite, and here is the master list for other models.
There used to be Duokan, which was an OS-replacement. I can’t for the life of me find an install image. If you do, let me know. I’d like to try it out.
And in my searching just now I’ve also come across fread-ink (project on hold since 2020), inkbox (mostly for Kobo devices, but some kindle support) and an old hackaday article about HOPE XII which I can’t find any further information on.
Best of luck freeing your Kindle!
Article is inaccurate. NewsCorp isn’t journalism.