After reading numerous complaints of noobs and Kaios, I've come to an interesting idea:
The livestock should never starve to death if the personal claim is active. Instead, it should graze from the grass and slowly loose its quality, if there are no good quality feeding troughs available. They should also stop getting pregnant while grazing from the grass.
Once they'll be given the access to the feeding troughs, they will rise their quality back to their birth stats within a week or two + become fertile again (happens in animal kingdom).
So, here is the scenario:
Kaios went to a vacation for 2 weeks and left some feeding troughs and planted some grass around his livestock. The animals have eaten all the food provided, then started grazing and lost their quality from 80 to 40. They have also stopped reproducing (to avoid the sheep island scenario from legacy). After the owner has returned, he has harvested some plants and fed his animals. The quality of the animals went back to 80 from 40.
Conclusion: Filthy casuals are happy.