Relevant part from the cited reference document:

>You may not use the PO Box “street address” option as your physical residence or place of business in Legal documents. Misuse of Street Addressing Service may violate civil and criminal laws and may result in USPS closing your PO Box.

So that service is strictly for receiving non-USPS shipments at the PO box, and either way the PO box needs to be rooted in a street address (your place of residence) anyway.

Of course, whether someone will actually check is anyone's guess. Probably not, if we're being realistic. But you will be in trouble if it's brought to someone's attention.