Keep in mind the issue of "plausible deniability".
Your home name and address are public knowledge, so when something is sent there, it doesn't prove it was you who ordered it (it is "deniable").
But your name at a PO Box address is not public knowledge, so it suggests it was *you* who ordered if some investigation took place (it is less "deniable").
This is why many people think it's better to just use your normal name and address.
The exception might be if items can be sent to the PO Box address using a different name, but you are still able to collect them (although some people might still argue that your normal name and address is better).
If you think that approach might be possible and wanted to try it, then you could try some "test runs", and send a few packages to your PO Box with different names, and see if you are able to collect them.
But if doing that requires you to register that pseudonym with the PO Box company, then you're back to square one....