It’s interesting that deer have a preferential hearing range that includes higher frequency sounds. I would have expected the opposite to be true because there has been a lot of research done on how cows, elephants, and others communicate over long ranges with low frequency sounds.
Never the less, what you say seems to add up. In my experience deer have responded to shots from deflex/reflex and recurve bows similarly to how they responded to compounds. Over the last 5 or 6 years of hunting just with the ASL, I have had the chance to take multiple shots at deer without spooking them.
In fact last year I was screwing around and I shot a squirrel, just to have a doe come walking by not 10 seconds later completely unawares.
Something hunters don’t like to admit to, but which I think accounts for most misses where the deer ducks, is that the deer sees the archer/bow move when he shoots.