For high gain this is near impossible...the buzz/hum can be high at high volume and extremely noticable. Hum for me has been a real problem and hum doesn't always go away with backing the volume off.
I guess it depends on what is important. I don't often let notes tail off. I do a lot of "on/off" playing a la highway to hell intro. Seen so many people play songs like that with noise in between and its horrible.
It it always enlightening to hear how differently we use amplifiers and effects. I never find high gain desirable. Especially gain so high that hum dominates. How a note decays is a significant factor on how I decide if a tone is good. Long smooth decay that reflects how the guitar reacts unplugged is paramount to me. Noise dominating decay is a non-starter. In short, the signal chain must support my playing, not the other way around. Always good to understand other viewpoints.