i think your feature-wish runs totally against the DNS of an average guitarist, in search for always the next guitar adding to the collection and hoarding many guitar 
haha, sorry, that was not meant so serious, but you know, its also really fun to own different instruments and deal with their personality.
even if a strat would sound the same as my les paul after a sonical transformation, the feel will not… and i do definitely play different on strat, than on a tele, than on a les paul, and than on a Gretsch as well. and the sonical character is only a small part of the whole experience of an instrument.
the question though is, what is the goal in this instrument modelling?
if you play at home, for yourself, its very easy to identify the different sonics of each instruments an have a joy of it, but its even more joy to actually play real guitars that are different.
but if you are playing live in front of an audience, no one would ever care or hear if that is now a les paul model or a tele model.
one thing though is, that i really see a benefit of, is to turn your electric guitar into an acoustic guitar, because it actually is really sonically very different and does have practical use if you just need to strumm a few chords in a verse and then switch over to the distorted electric guitar in the chorus, with just pressing a button on your controller 
same as beschmitt, i do have an AXE FX tonematch that is able to turn my electric guitar into an “OK” sounding Acoustic Guitar with just a switch, its OK for live and rehearsel space, but i would never use it for a studio application. a real and good acoustic guitar just sounds so much better.
Many years ago, i tried a Line6 Variax Guitar, i dont know if you are aware of these instruments, but they do simulate different models… it think it was ok, but not more… i also think Roland has some sort of things in their programm with their Virtual Guitars
cheers!