Well...I own a Line6 Helix Floor since some years now and I found that's the modeler with the highest price/quality ratio on Planet Earth, if we talk about professional stuff.
Line6 is the only one company that NEVER changed hardware and they keep releasing new firmware versions and updates (this means you can keep the hardware and enjoy new software FOR FREE), while Fractal changed hardware many times to support new firmware releases, increasing prices insanely.
I would have no doubt: keep the Helix (new release is available in these days), sell the Axe Fx III, collect some money and buy another MM guitar!
PS. I also own a Mooer GE250 that I regularly use reharsing with the band and that I also would use live, since it's cheap, complete and reliable!
PS2: The only other pro modeler that I would love to try is the Neural DSP Quad Cortex...If they will come to support their awesome plugins within the Cortex, one day....even if Helix hardware is the most complete one still, in a compact format (connections, expression pedal, switches, displays.....lights&colors...)...