what i take away from this is that hiyaw is really not JUST in the physical build of the guitar but also in the pickups and amp used. so there is really no way of knowing if a guitar has hiyaw in itself; it has to be complemented by good pickups and a good amp that will help pick-up everything a good guitar puts out. did i get it right?
to sum it up:
great guitar + great pickups + great amp = HIYAW
great guitar + crappy pickups + great amp = possibly no hiyaw
great guitar + great pickups + crappy amp = possibly no hiyaw
I think it's more accurate to say that the guitar can have it acoustically (eg, in an anechoic chamber) but it might be hard to hear w/o good pickups and amps. The pickups and amp just convert, amplify, and possibly enhance what the guitar is producing physically. If it's not produced by the guitar itself, the best pickups and amps in the world won't re-produce it. It might help to note that acoustic guitars can have double tone/hiyaw properties too, which just proves the point that the root of that characteristic is the physical/construction properties of the guitar.
However, the moment string vibration is converted to electromagnetic energy by the pickup and amplified by the amp/speaker, i believe the pickup and amps start to play a very big role in the final tone. That's when pickup materials, construction, location, height, position, and a myriad of amp properties, changes the basic acoustic tone into something more. So, again, in that sense, pickups, amps, and speakers, play a part in how that double tone (or hiyaw or whatever you wanna call it) will be heard by human ears post-amplification. It's still the sum of all parts, even though the physical guitar is the only part that you cannot do without.