This problem seems trivial at first, but what if the garage door opener runs out of batteries? Synchronization is lost then. Some method of resyncing has to be

This problem seems trivial at first, but what if the garage door opener runs out of batteries? Synchronization is lost then. Some method of resyncing has to be provided. It looks like that is what Skylink is taking advantage of. This backdoor seems like a built-in mechanism to resync the garage door opener. It isn't really a math problem. This is real-world engineering. One has to weigh the cost and added benefit of the myriad of possible solutions. I agree with you that the company shouldn't resort to strong-arm legal tactics to keep its products secure, though.