So, I just got this idea where there could be a Public and Private graveyard. When a pet dies, you'll get an alert like this ( let's say your pet's name was Joe), " Your pet Joe has dyed. Do you want himher to go into your graveyard or the Public graveyard?" If Joe goes into your graveyard heshe will lose hisher name like usual and can be resurrected by you only.  When a pet goes into the public graveyard, heshe will lose hisher name in 2 days and can be seen and ressuructed by anyone ( who has a res potion, of course).

Well half support (can I half support) well what if somebody clicks public and it was an accident or he/she misread it and clicked confirm and then he/she want to resurrect it and it has already been resurrected by someone else? The owner will be heartbroken. However anyone can get a free rare pet and consider themselves lucky.

No support, because this would be damaging to the rancher class. The rancher class was left very far behind for a lot of years because the worth of all creatu were so very low. With the addition of failed hatches, Kir's quest, and the seasonal turn-in events, it is finally up to par and we don't want to undo that.