If the books have no DRM, you can copy them over from the old Kindle. Whether bulk copying of the entire folder would work or not, sorry, I don't know.
As to Amazon noticing that you have de-DRMed copies of their books on your Kindle... they don't care. I sideload all my purchases to my ereaders with DRM removed, including my Amazon purchases. Not a peep from them during 10+ years.
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