This reminds me of the plot in a John Grisham novel- can't remember which one it was- where a health insurance company institutes a secret policy for 12 months of saying 'no' to a random 50% of all claims. The vast majority of those customers accept the refusal and the company has 50% less claims to pay.
I bet they have never had any qualms about accepting your premiums. Stick to your guns, this is what you've been paying them all that hard-earned money for.

