I sometimes have an issue with no name and/or incomplete addresses.
I think usually it is an oversight or casual carelessness by the buyrer rather than an attempt to hide their identity
I usually message the buyer using ‘Addditional Information Required’ as the header as this will be delivered to the seller even if they have opted out of messaging.
I politely ask for their full name and/or address telling them it will assist with speedy delivery and invite them to contact me ‘at your earliest convenience’.
They often reply within 24 hours. On very rare occasions I feel that there may be too great a risk - this often involves overseas addresses (I always use SmartyStreets address verification software - it’s good for checking the format and required fields of overseas addresses).
If I feel that the risk is too great I mark the item as ‘Shipped’ then fully refund the buyer - doing that avoids bad feedback. I also message the buyer telling them we have had to cancel their order and invite them to buy again but at the same time ask them to provide full name and address details.
It’s easy and quick and a polite message often yields results - you keep the sale and peace of mind.
It is rather annoying that Amazon allow people to enter delivery addresses that are clearly incomplete or contain errors when there is software readily available to check addresses and the different ways of formatting them worldwide.