maschoff
Experienced
I've owned most everything on the market at one point or another. Power conditioning does NOT affect the tone with digital processors. Key term here being "DIGITAL". The Axe is basically a computer, and like a computer its all or nothing with regards to its power needs. Its not going to start magically processing those bits, the 1's and 0's differently based on the input current. Your not going to get an output sequence of bits going from 1000100010001.... to 100110001001 because of supply changes during processing. CPU's simply don't work that way.
What it can do however, is model some effects of things like voltage on things like a power amp. There are a number of parameters you can tweak to account for subtle changes in AC current etc.
Think of it this way, ignoring any power conversation strategies your laptop may employee when running from the battery, does it perform any differently when plugged into the wall ? No it does not.
Its not like spell check is suddenly missing every 1 out of 1000th word because its getting "dirty" power. Its not like Photoshop is dropping every ten-thousandth pixel. And its not like your Axe II is going to model an amp any differently. These things either work, or they don't.
Your not going to sweeten your tone by slightly starving the Axe for voltage etc.
Sounds like you've fallen for marketing hype, which is just that, stuff created by folks in a marketing dept. Not engineers, maybe not even musicians. But rather people who's job it is to convince you why you "need" something, even if that "need" is merely a creation of the ad man.
Its modern day "snakeoil". Its selling a pill to prevent people from getting a made up ailment. "Axidosis" could be a made up condition, but sure enough some people would gladly line up to spend $99 a month for a bottle of those pills because they don't want to get "Axidosis", and if you give a list of imaginary symptoms, plenty of people will swear on their lives that they have "Axidosis".
Power supply filtering is beneficial to hardware amps and surge protectors are wise for all digital devices, but no magical power conditioning is going to affect the tone of a digital modeling unit.
You're right, there's no such thing as digital crosstalk