I mean sure they could probably display less information when you punch in that card number. But the biggest sticking point for this is I don’t see how they could create a secure system without forcing you to create an account? Which personally I think would be ridiculous.
In the Netherlands, they solved this by adding a randomly generated transaction reference to the payment. This will appear on your bank / credit card statement. To view details for the transaction (time and location of entry/exit), you have to enter the paid amount and reference.
However, this will only give you info for a single transaction. If you want to see an overview of all your transactions, you need to create an account in their app. After linking your card to your account, again using the reference and amount for a transaction, you can view your travel history.