Just an update I had to learn the hard way: as of now, cryptopay doesn't allow you to use unverified cards at PayPal at all. At least that's what happens if you're a new user: PayPal will not be able to process the addition of your card and CryptoPay staff said in web-chat that it's a new 'bank policy'.
So, basically, to use it with PayPal in any way you need to verify your card - share your ID with CryptoPay.
Almost all bitcoin card providers use same card issuer - mychoicecorporate which requires kyc verification for withdrawing funds, so - get used to it.