My noodling isn't really inspired, but I think the Re-amp is as best as can be expected. I think you did a great job. I honestly think you got the best out of it, but the Kemper to my ears is much more realistic as in comparison, the AXE sounds harsh and thinner. The clips I posted have no EQ added or compression or anything. They certainly can be improved, but I thought to be fair I just posted the raw amp with very little delay and reverb for playability.
What I would like is for you to get the Guido profiles of the Bognar XTC (it's less than 4 dollars for about 7 or eight kick ass profiles) and hear and feel for yourself the clear advantage of the Kemper.
You still have to tweak very little to suite your guitar. I totally think I know where you're coming from. You're really good at tweaking and so was I. I got really good tones from my HD 500 and 300 before it, so it was always a thing that made me feel good being able to get good patches, but now that I have the Kemper, I still tinker here and there, but it's so liberating accepting someone else's good profile that needs minimal tinkering and I play much more.
I honestly think you're already getting the best and the most out of the AX8 and no matter how many good patches you get, you will always be limited to the AX8 inability to reach up the level of the KPA.
Remember the KPA internal processing is a ridiculously higher sampling rate:
From Chris Kemper "The global sampling rate is 44.1 kHz, while the internal sampling rate is partially much higher. The algorithm for the tube simulation runs on more than 700 kHz sampling rate (!).