Are livestock lost to cold also compensated? Because that seems like it would create a perverse incentive not to build shelter (i.e. barns) for your livestock.
The common method in Europe is just to move or left the carcasses out, so they are scavenged by several animals. After a week wolves appeared and left traces, so it was paid as "wolf kill". This was known because some people put hidden cameras.
When bear kills started to being paid by an ecologist group there was an awful lot of scam attempts also. I think that paying for predator damage are counterproductive at best, and at worst "fossilize" as a system to scam taxers and reinforce scammers.
Is not much different than expecting to be paid if you go for a beach day and you are stung by a jellyfish, or it rained that day. There are old proven solutions to reduce drastically this loses, is just that farmers choose not to use them.
For comparison, roughly 25000 cattle are lost to cold every year in Montana.
[1] https://liv.mt.gov/Attached-Agency-Boards/Livestock-Loss-Boa...