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.
Note that even PO boxes are not particularly safe against a dedicated stalker. They can stake out the PO for someone picking up a distinctive package once they know what PO it's at.

@dalias I live in a rural area of my state. This means that everyone living here has to get a USPS PO Box

We get the double edged sword of

...dealing with entities and online vendors that do not accept our PO Box address as valid.

...but also that we are still suceptible to the privacy issues despote that our mail doesnt come to our physical location.

@dalias Or just mail you a tracker.
@toerror @dalias this. even my stalkers are not dedicated enough for potentially multi-week stakeout, but an apple tag is super easy
@dalias Thanks for the heads up on this. Deleted all my wishlists and set the default to private.

@dalias

For those interested, USPS has an optional service for PO box holders to use the post office street address to receive packages from Amazon, UPS, FedEx, couriers, etc.

Amazon accepts a post office street address, as well as a PO box, for deliveries, as do most, if not all other carriers and couriers. The exceptions to this may be for insured, bonded, recipient-only, or other such restricted deliveries.

Some Amazon sellers do not ship to PO box addresses but the post office street address seems to be acceptable.

The post office acts as agent to sign for packages if necessary and packages are held for pickup at the post office for some number of days.

The packages are delivered to the post office and do not go to the regional sorting facility. As far as I know the USPS does not permit forwarding of packages to other addresses.

Many post office box lobbies are visible from the outside, where people can loiter and watch a box or boxes of interest for people to collect their mail. Loiterers are usually easy to spot.

And that is about as much as I know about it.