As you have shown, there is no device that does what you want. Out of the box, the Kindle is the closest.
If you are willing to write code, then the Kobo is probably the simplest. It is running Linux, doesn't need to be jailbroken and there are lots of different mods available. It can also run Koreader. It has some syncing but I don't know if it will do what you want.
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