If you use their app instead of their web site, and you order it often, it'll be way faster. Of course, if you don't carry your phone with you then that's not going to work, but it seems like putting your phone in your pocket is a better solution than a specialized single-purpose button widget.
From the description, it sounds like you don't need your phone with you. If it used bluetooth, then I think you would. But it uses wifi. So as long as your phone is on your wifi network, then it should work.
My point is that if you have your phone in your pocket, you can use it to place an order directly, rather than relying on a separate single-purpose widget.
> My point is that if you have your phone in your pocket
When I'm in the privacy of my own home, and I'm not expecting guests, you'd be hard pressed to find me dressed at all, let alone in anything that has pockets ;)