When To Use AoA
The US Navy uses AoA only for setting the optimum speed on landing approach. Why?
Because AoA is highly sensitive at approach speeds but varies hardly at all with speed at cruise. Thus you can get a very accurate speed indication where it is most critical, on landing. Further, since carrier landings are made by driving the plane directly to the deck with NO Flare you hold the correct AoA and drive it on. That also ensures that the end of the tail hook stays at the correct height in relation to the fuselage and main landing gear.
US Navy AoA gauges indicate "units" and not degrees. I guess this keeps down any speculation as to the actual number of degrees of angle of the wind in relation to the wing, which matters not to the pilot,