People need to become sadder. That doesn’t mean more depressed. To be sad means to be full of compassion. It is the desire to heal the neighbor from his suffering.
„What if my dog died and then I’m sad?“
Then you grieve for yourself. For your halfness and need healing yourself. The ideal would be if you were whole. Then you would not have to mourn the death of your dog. You would be in the meaning and you would understand.