I've only got the Covert to compare against, but I'd say that the .40 is quite "snappy". The P45 seems a bit muted/dampened in comparison.
I can't say if one is more harsh than the other, but, with it's abbreviated grip, I'm slower getting the Covert back on target. To help with that, I use a magazine extension on the Covert. It's the only Kahr pistol I do that with.
No dealing with that on the 45
Regards,
Greg