Your recording has dirt in it. I'm looking for a completely clean tone that doesn't break up at all or only a tiny amount under the heaviest of strumming. Volume, punch/kick/thump all vary greatly depending on how you attack the strings. As Cliff described, the tone has a lot of bounce in it if you use a lot of pick dynamics.
The tube amp I am comparing to is a (I hate to say it's name because people often hear with there eyes) Bugera V22 that I paid less than $300 new. The clean channel is as good, or nearly as good, as any of the other tube amps I've had in the past (Fender, Marshal, Mesa), the dirt channel is good but not great. With the master around 4 and gain about 6 on the clean channel the V22 is clean, or almost completely clean, no matter how hard you hit. Tons of bounce and headroom. If memory serves me correctly both my old Fender and Mesa could produce similar clean sounds with relative ease. I have found at least one profile on the KPA that has similar bounce and headroom when played through my CLR. It doesn't sound exactly the same, but that's not my goal. I just want to find that bouncy and very dynamic feeling clean tone. My studio monitors (KRK Rokit 8 G2's) flatten things out, so the differences get lost on them.
I'm not sure what else to say? The tone I am looking for is not unusual IMO. Nothing I've tried on the Axe has gotten me the same results as of now, but I have a few more suggestions from this tread to try.
Thanks for everyones input and help.