I agree. IMHO you can`t make a really shitty sound with the Axe, unless you or the soundguy are clueless. So FOH will sound good.
Maybe not always as intended by yourself, but that`s just for you to tell, and you`re not in front of the PA.
A great player on a bad sound is much better than a shitty player on a great sound IMO. Because 99% will think that the great player sounds good and the bad player.... well.. you get the point.
This is fundamental to all self expression and art... Asking poets what they meant shouldn't be allowed. How people hear what you play is up to them.
It's good to be very particular about ensuring they get to hear the closest to what you intended, but even if it's totally exact, which it isn't going to be even with fantastic FRFR monitors, great sound guy etc, each person's hearing and brain is different, so they're going to change it inside their heads - even if the sound guy didn't
.
My day job encompasses researching how people's brains respond to music (neuroimaging and other esoteric stuff). The generalities we all share are surprisingly basic - rhythm being the most important factor. A much better electric guitar player than me, who gets incredible sounds from minimal fx gear, always insists that at live gigs, people can only really distinguish between a few basic guitar sounds.
However, it may be that how you feel and look when playing does affect your audience (I'm sure this is correct, but science lags behind intuition, as we haven't yet got the data to prove it).
But definitely, how it sounds is vital to how you play - in a feedback loop fashion. Singers cannot sing in tune unless they can hear themselves, and if what they hear sounds unfamiliar or isn't correctly reproducing what they're doing, they will compensate by doing the wrong things and making it worse. I'm sure guitarists do the same.
The show must go on, but if it doesn't sound right, it's hard to do it well no matter how professional you are.
The Axe gives the best chance of it sounding familiar and good, that I've come across so far. Old valve amps are truly great, but can be hard to get sounding the way you want, plus are
HEAVY - my other big 'LIKE" of the Axe.