I've had many trees killed or damaged by Kaka. Mainly Macracarpa species, but also Cherry and Birch.
They savagly use their beak to open and lever the bark up ....like an old style can opener, they then gently dab their tongue on the sap.
Usually they are predomoinantly young males, around November.
I've tried stringing up nylon with plastic supermarket bags attached between the rows, they just ignore this and carry on!; no amount of noise etc bothers them.
I think if it wasn't for all the squabbling and play, it woud be worse.
Pictures are of 17 yr old 6m pruned Macracarpa.