This is different for each product, it's explained in the product descriptions. For activation of VISA International Prepaid, only a valid email address and cardholder name (any name is accepted) is required.
For MPC MasterCard, valid email and phone number is required. But as explained in product description only email address must be valid, all other data could be random.
The most obvious and easiest options (Njalla, Incognet) are not mentioned—both directly accept Monero.
We don't suggest using Njalla, because of this reason we won't promote them. Thanks for thoughts tho.
Only valid email address and cardholder name is required to activate cards. You can put any cardholder name.