Jpms -- having experienced the Krons not the Cortese, I can only extrapolate. First, check out the input impedance for the Krons & refer to the output impedance of the Cortese.
As I have heard them, the Kronz provide brute power &, I expect, *should* be happy with the sonics of a Cortese, as these are reported from respectable ears. However, make sure the Cortese has an adequate and quiet power line (a dedicated line?) as the KR seem to happily amplify ANYTHING you feed them -- i.e. they are hardly the politest/most forgiving/etc, amps out there! Cheers!