In Amazon's case you don't even need that, you just need
to click a button.
Yes, that was the point of the thread. On Amazon's site, order cancellations are automated and can be done on the website, while for many other online stores you have to contact a human to do it manually.It is very much in Amazon's best interest for competitors never to deploy a technology like this. I'm sure that lots of people have placed Amazon orders from inside of Target stores after seeing cheaper prices at Amazon.com, for example.
This could be a offensive patent in the since that they could aggressively pursue anyone who implements it, while never implementing it themselves.
There is also the possibility that if you don't file the patent, someone else will, and it's better for you to be in control of that property than to leave it for someone who is potentially much worse to obtain.
This is pretty much the dilemma involved in any willful abdication or refusal to seize property/power. It's particularly relevant to competent engineers who opt out of office politics because they dislike the BS, which means the task is left to the incompetent. This results in suffering for everyone.
If something is under your control, even if you're not actively doing much with it, you're preventing an adversary from taking it instead.