Ja, so steht es jedenfalls bei Apple.
Making purchases
After you set up your family, any time a family member initiates a new purchase it will be billed directly to your account, unless that family member has gift or store credit. First, their store credit will be used to pay the partial or total bill. The remainder will bill to the family organizer's card. As the family organizer, any receipts generated by the transaction will be sent to you. Learn more about how iTunes Store purchases are billed.
https://support.apple.com/en-us/HT201079
Dann machen iTunes Karten als Weihnachtsgeschenk auch wieder Sinn
Bernd
After you set up your family, any time a family member initiates a new purchase it will be billed directly to your account, unless that family member has gift or store credit. First, their store credit will be used to pay the partial or total bill. The remainder will bill to the family organizer's card. As the family organizer, any receipts generated by the transaction will be sent to you. Learn more about how iTunes Store purchases are billed.
https://support.apple.com/en-us/HT201079
Dann machen iTunes Karten als Weihnachtsgeschenk auch wieder Sinn
Bernd