I'm paraphrasing a bit here, but +Adam Powell has mentioned that the Android team designed this screen less for power users and more to make the discovery of such settings easier for non-power users.
As someone who strives to design accessible apps, I respect this position. But as a power user, I want more from this screen.
By making each appropriate item on this screen respond to a double-tap, power users could quickly toggle items on and off as they want, while muggles could use the button as a shortcut to the settings page as per the stated design goals.
A double-tap would also be a similar power user feature as the double-tap that was added to the "Always/Just once" Intent picker in Android 4.2.
What do you think?