Mike - no worries, I haven't taken anything you've said as smart-assery. Hopefully I've been coming across similarly!
Airspeed indicators measure pitot (total pressure) and subtract that from static pressure. This gives the pilot information about the speed the aircraft is moving through a mass of air. Since the variables in the lift equation generally don't change much, we can use airspeed as an indicator to when the wings are approaching their critical angle. We can also use indicated airspeed to control the upper side as well, keeping us safe from the dangers that apply to speeds like Va, Vb, Vfe, Vle, etc. At higher wing angles (or large yaw conditions), the fixed pitot tubes many of us fly are subject to error. There's even error just in their normal operating range (installation error), but it largely doesn't effect operations so few platforms spend the extra money to apply the corrections (calibrated airspeed, or add DA to get TAS). We can approximate TAS by adding DA to indicated AS, and that's very helpful in navigation (or was, before GPS).
An AoA device measures the angle of the relative wind in relation to the wings' (or wing's, depending on the installation) chordline. This is a direct measurement that can be compared to the critical angle of that airfoil. It must be calibrated or electronically adjusted based on the wing configuration (like flaps extended or retracted). It can also help target best glide speed (occurs at best L/D AoA), or Vx/Vy as needed. They're not much good above that, though. AoA won't help you with structural concerns surrounding the various V-speeds. And it won't help you with navigation calcs.
Both devices can help warn of impending stall. There's errors and approximations in airspeed indications at higher AoA, but it's a useful tool for many other operations so it earns its way on the panel. AoA can be more accurate in stall warning, but has fewer uses so it wasn't largely fielded outside of the small community that needed it (mostly Naval carrier ops). Now that the tech is cheaper to acquire, AoA is becoming more prevalent as a tool to a much larger community, to include GA.
Thank you for attending my TED talk.
