Most teens do not have a credit card or access to their parents' on Amazon.
I didn't get my first checking account (and bank card, which only worked in ATMs) until I attained legal majority and started my first adult job, but that was quite a few years ago now. I would be entirely unsurprised to learn that many, many teenagers today have bank accounts and debit cards of their own, even if it's only their allowance that gets deposited there.
You would be surprised how many 5 year children make one-click purchases on their parents account. Suddenly all their favorite toys begin to appear magically at the door.