Ah
Now I get you. Although I haven't thought long and hard about this, I think self-awareness allows us to empathize with others' feelings. We can only know or imagine other people's sadness when we know our own. Recognizing yourself as a distinct person helps you recognize everyone else also is. I think a "moral standard" would be hard to find in organisms without self-awareness, but to give a better answer, I think it would promote morals.