I just sideloaded 3.1.0 on my Mini - it is not supposed to be for the Mini, but it works. And I am happy to report that the Tweaks work, too. At least, that is how I am launching Sergey's launcher.
The Browser does not launch and freezes the reader (needs pinhole reset), however Chess works, and so do the settings.
Of the other commands I had added, Reboot works, while koreader does not (but it did not work before the update, either). I suspect the Browser might be pointing to the wrong spot, as the browser in the new firmware seems revamped as compared to the one in 2.6.2 (on the Mini).
EDIT: sorry, koreader works, too, just found a typo in the command I used. So just to confirm, apart from the Browser command, everything else seems to work in the Tweaks with firmware 3.1.0 on the Mini