A simpler way for the shipper to avoid the chargebacks or otherwise figure out what site the item was ordered from might be to include a card in the packaging asking the user to submit some survey that happens to ask what site the product was purchased from, in exchange for a discount/rebate. Maybe mention the official sales channels and say that if it was purchased from another channel, it might not be legit
I feel like 99% of the time I order from a big online store, I get an invoice in the box anyway (which just says paid via PayPal or paid via card 123).
Sure, but at a customer I trash that immediately. I don't double check that it's my card. I imagine that 1/100 times might be enough to catch the fraud, but even getting thata y consumers to care would be an uphill battle without incentive.