Some do.The owners of dead dogs don't pay for dead chickens.
In the past I'd just tell them what I lost and what local replacement would cost then give them the option of what they wanted to do.
More often then not they paid whatever I quoted.
But ya they were reasonable quotes. I never asked for $100 per chicken or anything like that.
In the end I finally fenced in about half my property and haven't had a stray dog enter my yard since.