The question I have to ask myself is "how quickly can I get a great tone". Sure, the mind-numbing amount of configuration on the Axe is unsurpassed, but how much time does it take to get to where you want to be?
It depends on what you're looking for. There are times when I've had trouble finding an appropriate profile for a recording and was able to create something that was tailored to my needs in the Axe in a reasonable amount of time, by my standards anyway.
I suspect that I am like most of you. I grew up on tube amps and stomps. In my head, I think in terms of that setup. The KPA mimics this tried and true workflow which makes it easier for me to get it done with respect to good tone.
In my opinion, Axe-Edit mimics the same workflow and brings a significant amount of versatility to the table.