Earlier quoted context omitted.
In 5 years we're gonna wonder how we got to the point where you can't easily turn off wifi, slowly dumbing down devices for all of us for the sake of your project manager and the like.
@mikeash it takes a minimum of 4 or 5 taps and button presses.
On a 6s or newer, with 3D touch, you can cut it down to 2-3: unlock, force touch on Settings and toggle WiFi from the menu that appears. (That might be 1-2, I forget whether you can force touch and drag to what you want to activate, or whether it has to be a separate tap.)