Big payment processors like Stripe are storing your full credit card number forever whether you choose to "Remember me" or not.
The checkbox is whether you want to be able to pay again without retyping it.
The checkbox is whether you want to be able to pay again without retyping it.
Now having read this thread I get that in fact Stripe is storing it, but if I hadn't read the responses to my initial post, I'd just assume Kickstarter was asking to store my CC# which I wouldn't agree to.