"Better" is so subjective. That said, I used the AX8 live for a couple of years, now the Axe III and FM3. Live or at home, the Axe III and FM3 have the upper hand as far as tone goes. However, dialing in tones that translate the way you want them to is a matter of figuring out what seems to be missing.
It's very easy with a modeler to have too much high end; sounds great through monitors at lower volumes, may even sound good at moderate volume. But when you get on a PA system, it becomes thin and harsh. I found this out the hard way.
The trick and what worked for me was to take an amp I wanted to use and find a matching cab, leave everything default and get used to that tone. At first, it was dark and mid heavy, but when I took some time with it, it seemed as though I finally heard the tone that was intended. It sounded like a guitar amp. Once I became comfortable with the tone, I used it live and the result was incredible, I finally had the live tone I wanted. It sounded huge!
Now I create a baseline preset for any amp I use and reference them from time to time to make sure I don't stray too far from the desired tone.