I think it's a level problem, if the Kemper gets a way too hot signal and the automatic adjustment doesn't get it right, this is what happens.
I've had this problem with a Hughes & Kettner Triamp MK2 some time ago.
The next firmware version solved it back then, because it must have been the automatic return level adjustment in profiling mode.
Can you turn down the amp or add more attenuation at the DI box?