If I were in that lucky position the Perazzi would get the nod.
Fitting within the price,
£2500 less
Won more events so re-sale easier on that score alone
Looks more conventional so re-sale easier
Factually speaking fewer people fail to gel with a P
Parcours is really too light by around 6-7 oz
The reason for the difference in price is almost certainly to do with economies of scale, Perazzi probably sell ten times as many guns as Krieghoff.
ps. regarding handling...........well it's a bit of a minefield really as some prefer frontal weight, others between the hands, a few even like a tiny bit of stock bias, in short you can decide to set it up as you wish and a gun costing several thousands deserves that. Be aware you might just be judging the way the K flits to and fro due to lightness as superior handling, it isn't necessarily that, handsome is as handsome does.