Thanks for the info on your listening gear, and perspective on your experience - no issues there
JBs and Bareknuckles may help explain what you experienced - I have several guitars with hot pickups, too, including JBs. Without adjusting the Input Section of the Kemper, my hot pickups can drive some of the stock profiles into the red, too. This can happen especially if you have the pickups physically close to the strings. Many (most? all?) of the stock profiles were done with traditional output pickups in mind. JBs have almost twice the resistance of pickups like traditional humbuckers, and approaching three times as much as vintage strat pickups.
Before I started to account for the pickup differences, any profile with "crunch" in the title was a distortion sound for me, and the clean sounds were just dark. Fortunately, the Kemper is designed to let those of us with hotter pickups (and those with quieter pickups than whoever designed a profile) to adjust the input settings of the amp. It is possible to save multiple input settings presets, and individually name them.
If you experiment with with the Clean Sense and Distortion Sense settings, you can globally tune the input of the amp to your preferred pickup style. Even after doing that, some of the individual profiles may benefit by turning the gain down a little, when using hot pickups.
Since the Kemper profiles include the microphone response curve, they won't sound exactly the same as the source amp would in the profiling room. Unless the mic EQ is part of a quintessential guitar sound, I tend to like the profiles with relatively uncolored mic effect, too. You may get better results from concentrating on the profiles that used flatter microphones, and avoid the ones colored by dynamic mics. There are also cabinet profiles that can be downloaded (or loaded from other profiles) to change the EQ flavor of a profile. The amp parameters and cabinet parameters (these are in addition to the EQ settings) can also be used fine tune sound of the profile, and to tailor the dynamic response to compliment individual playing style.
As an aside to all this - unless using the Kemper with a guitar cab is your highest priority, it seems to me like trying to set it up for your main intended purpose is the way to know if it work for you this time, or not. Like you said, you have some great sounding amps, as it is.
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