Did you know that the Katana amp includes many more amp models than the 5 presented on the physical amp knob. In fact there are 25 or more amp models available in the Katana firmware! These additional amp models have widely become to be known as the 'sneaky amps'.
A more detailed and up-to-date article on this topic has been produced (Aug 2022) here : Katana Pre-Amp Models
If you haven't tried these other amp models yet, it's definitely worth giving them a go.
Have fun !