Hi Ivan,
for me it sounds like a common reamp.
I don´t know what is you DAW (digital audio workstation, Pro Tools, Cubase, Logic ... ) and you recording equipment, like interface ...
but try to make it like this if possible.
1 Run you guitar directly into your interface (for example INPUT 1) go check your daw and create a channel select for input the INPUT 1 where your guitar is.
2 Then switch in the same channel the out put to OUT 2-3 or spdif.
3 go to the selected output from your interface and connect it with the kemper input Spdif or front input.
4 connect the monitor output from the kpa with a different input (let´s say INPUT 2)
5 go again to you daw an create a 2nd channel and select for the input, INPUT 2.
Now when you record and enabling both channels you record a dry signal and the singal which goes into you KPA.
If you have problem with latency the record the dry signal by simply put record the guitar dry into yout interface and later do with the recorded signal the same 5 steps so you can use the kemper like Amplitube
simply change amps or tweak around till you sound ist perfect.
hope this will help you