The conflation between the Fire TV and the eInk Kindle is especially misleading, because it's completely technically bogus.
And to get back to what we care about here, while the downgrade process on eInk Kindles since FW 5.6 is slightly involved (an increase in complexity that actually began with the earlier FW series, somewhere along the 5.4 line), restoring the jailbreak on previously jailbroken 5.6 device is easy as pie: it's as 'complex' (i.e.: drop file in right place, click right button, enjoy) as the initial JB procedure, if not less so, because we've had to unify some of our more scattered basic stuff to handle everything in a saner way.
And the cat and mouse game is nothing new, it's been a constant battle since the Kindle 2.x days. Although, granted, it's now hit a serious standstill.
So, yay, "journalism". (It's not as if we were hard to reach for comments and/or explanations, as Nate just proved
). Even more baffling when the mostly appropriate stuff is actually linked in the article. :?.