This surprises me because there are so many different public profiles available and it takes me a while to find the ones I like. When I say this I am even speaking of the same model of amplifier/speaker. I would think that if someone is refining with a guitar with hot pickups and another is not then that would have a bearing on the profile. Pickup height included. Of course, I have no idea and it looks like I was mistaken all along. Thanks Christoph.
There is (way) more to a profile, than just the amp: the speaker, or combination of speakers, the microphone or combination of microphones, the placing of the microphones, pre-amp, mixing technique, other outboard gear (eq and what not), refining length and what is played. This is what separates the profiles from each other, not the guitar used in the refining process.