I don’t get though why the form allows to edit your name when adding a new card to Curve.
If it must be in your name then it must be a hidden field, pre-filled with the name of the Curve account owner.
Also, by reading this article, it looks like it implies that it is indeed possible to use a card in someone else’s name as long as you are authorized to do so.
“please check with any family or household members who might have had permission to use your card” → and it does not advice to contact Curve.
And right after:
“If you have reason to believe that your card details have been used by someone else without your authorisation, please get in touch with Curve” → In this case, contact Curve.
So that article is at least badly written and misleading: it should say that in any case you should contact Curve and tell them someone else is using your card, since no one can use someone else’s card, even if they have been authorized by the owner.