I don't work for Apple either.
And your analogies are inapplicable to on-line purchases since there's no way to check signatures, get a driver's license number, etc. The iTunes Store collects the same information as any online merchant - credit card number, security number, billing address (which usually has to match
exactly that contained on the card account) and requests an authorization from the credit card company for any purchase, and if the card company provides such an authorization, any fraud or other problem legally becomes the problem of the credit card company. The iTunes Store, or any merchant, thereafter is not responsible for any fraudulent purchase and cannot take any action unless and until the entity legally responsible, i.e the card issuer, or a legitimate law enforcement agency, requests such action.
Sorry, but as has been said several times now, your recourse is through your bank/debit card issuer. Apple can do nothing for you.