[GrinningFool]

I think you misinterpreted.

It seems to me that he's saying that he sends reminders that the credit card will be billed and people don't cancel. But as soon as they get emailed that a charge was made, they do see that email because they're quick enough to cancel and request a refund.

It sounds to me like OP is actually going a fair job of managing this. He sends notice before billing, and a receipt after. Though I might change it so that the first billing required an opt in, with daily reminder emails in the last few days.