> after the defendant consented
There are also many different jurisdictions which don't have 5th amendment style protections.
https://en.wikipedia.org/wiki/Right_to_silence_in_England_an...
With the defendant consenting, Amazon's standing for litigating this issue becomes more fraught.
The owner of the device giving consent to Amazon to release the data avoids having to play out the legal process of obtaining the data (it's likely the request would eventually have succeeded).
Another explanation is the defense is sufficiently convinced that nothing conclusive will be found anyways, and think that acting as if they have nothing to hide will make them look more innocent.