I don’t know how to get those results that will put my name in lights. If I did, I’d do it. The method is easy, just do double blind tests on signals that measure identically and show that people are statistically identifying them correctly as different. The method is easy. Getting the result is the hard part.
As for op-amps, if you just swap different op-amps in and out of a circuit, it is not too unlikely that significant changes might occur that can be audible - and measurable. Op-amps need to be in a circuit designed for them to be transparent. So yes, it is generally agreed that if you want to tweak the sound, you have a good chance of doing so by randomly popping new op-amps into a circuit without adjusting the circuit accordingly. You may hear something you really like!