I think that ultimately the question is, "what do you want to sound like?" The only reason that I can see for something like an Axe FX is if (a) you want multiple tones, or (b) you're not sure about what you want.
If you really want only one tone, and can figure out an amp/cabinet and some pedals that can do it, you're done! Indeed, this seems to describe most famous artists, except perhaps for some that might be thought of as being an authentic "cover band" of their prior catalog, where they need to hit multiple historic tones; they might be (a).
I fall mainly into camp (b), although I tend to leave it on a "Dual Rectifier" [model] by default. If I ever learn to tweak better, I'll probably evolve into having multiple tones, and drift into (a).