the jail break, KUAL and KUAL extensions survive system image updates.
anything / everything else must always be re-installed.
same-same as always.
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It used to be possible, but there have been reports of difficulties with the old methods of manually downgrading.
difficulties to the degree that the Kindle has to be returned for exchange.
So no clear answer can be given at this point.
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It was known that most versions of the 5.6.x series could over-ride the backdoor lock.
There are other alternatives being tested, see:
https://www.mobileread.com/forums/sho...96&postcount=2
bottom of that post.
Now that 5.7.xx is in the air, it should not be too long before we hear reports on what works on 5.6.yy.
Which doesn't say anything about what will work on 5.7.xx
Isn't Amazon nice to work with?