PSA: The Amazon wishlist doxing threat is much greater and more immediate than folks might realize. Attack works like this:

Stalker who wants your address opens an Amazon seller account and lists themselves as a third party seller for any item on your public wishlist. Then, they order the item from themselves as a gift for you. Bam, they have your address.

In particular, attack does not depend on an existing third party seller having poor PII handling hygiene, like the articles have implied.

The only mitigations are refraining from using public wishlists entirely (set any wishlists you may have to private) or using a PO box or reshipping service to conceal your real physical/final address.
@dalias id go a step further and recommend people stop making Jeff Bezos richer in general.