not having an AOA instrument in any airplane i've ever flown might have made it difficult to teach
That's certainly a huge problem - we can't look
at a nice (dual-indicating) gauge and see the AOA
for each wing.
As a result, over the decades people have developed
all sorts of approximate rules, to try to keep the AOA
correct. "Hold this airspeed" or "don't exceed this
angle of bank".
The problem is that they are just approximate rules.
They either leave AOA "on the table" that could be
used, or they are horribly incorrect and result in
exceeding the AOA, in the corner cases.
Fundamentally, the wing ONLY cares about AOA.
See the Cl curve. The wing doesn't actually care
about airspeed, or angle of bank, or scary visuals,
or anything else, really.
Experienced, proficient pilots intuitively know the
above, even if they can't explain it very well. They
know when they are working the wing hard, and
when they are not.
My father and I did thousands of
inside/outside loops
together - he did an outside loop as lead, and I did an
inside loop on wing, lined wingtip to wingtip. It was
quite a lesson in aerodynamics. First of all, even though
the wings were symmetrical, the aircraft was not. This
resulted in more AOA being required inverted than upright,
to create the same lift. Next, it was quite interesting
for me, because I would have the stall warning indicator
blaring away, under +ve G. I got used to that, but it
got me thinking. Lead had a higher -ve AOA than I did.
He was working the aircraft right to the limit of it's stalling
-ve AOA, without any instrumentation whatsoever - by
"feel" only. He was constantly flying the aircraft to within
a degree or two of it's -ve stalling AOA, as the airspeed,
G and pitch attitude varied wildly during the outside loop.
Humbling, to watch such a virtuoso performance. But
that's the skill you get, from 50+ years in the cockpit,
of not flying straight and level.
I digress with such irrelevant history. The USN understands
the importance of AOA - that's how they fly carrier approaches.
They don't do the silly dance of calculating their weight,
then looking up their Vref based on that, which always
seemed terribly baroque to me.