I'd love to check out the AxeFX but they are VERY rare over here as of yet, never seen one, and they cost a lot of money as well.
It does seem to have some excellent sounds, I doubt not that it is the cutting edge of processors & that it sounds like a tube amp...
BUT the problem with them processors...and all rack gear etc...is they have so many options. Even the simple ones like my Peavey Rockmaster/60-60/4x12" rig had way too many options for the sound.
You play it and it's great, the next day it sounds not so good, tweak, play, tweak, play...listen to a track you recorded a week ago and wonder why you ditched THOSE settings it was best ever...
It's like being in a candyland when I use stuff like that. I get no playing done, because all the time goes into tweaking the gear. You get a GREAT sound and five minutes later you're like well, maybe it would work better like this...or this...and when we're talking digital menus and connection options...POD XT, GT-6 etc...I've spent countless hours tweaking 'em and gotten really good sounds too but...it's always just tweaking. The best sound is always just around the corner or it was the last piece of gear you had after all, not this new one.
What I've done for a good while now is I only use one type of guitar, always EMG85+SA and I use only one amp setting - I just got my Ceriatone volume where I want it to be and took off the knobs and screwed them back on at 12 o clock position so I never have to rememer how they were set...just make sure they're at 12 and go. NEVER change my sound or settings any more.
Same with my Tech-21...I have it on clean with high gain and the only thing I adjust on it is the reverb amount.
ALL the othe adjustments for sound I get from pedals, which I also adjust very little/rarely, and my guitar volume.
And you know what...it still sounds a bit different every single time I play but I just ignore it and play...and I've never been happier with my guitars sound for a looooog time now.