OK. In the (important) interest of fairness and also because speedy said they were NOT asked for any further ID and did have successful transactions, here is the explain from the store. They responded promptly and honestly, I feel, and I reckon it's just unfortunate wording on the site. So it looks a genuine site, and their responses have been very helpful as well as prompt. I have seen a lot worse.

"Dear Sir,

For security reason, if we foundsuspicious paypal payment, we will request our customer to show us the data and do the verify with paypal. We will not request all customers to show us the document as most of the customers having verified paypal account. But please notice that we only ship parcel to to paypal account holder to the paypal shipping address. Thank you for your email."

Nick