I have 3 birds that eat dinner with us. I always fix a plate a few minutes ahead of time for my birds. Then when we sit down to eat, I can "offer" them a plate of cooled food. They still head for mine, but they have all been taught what HOT means. I continually tell them, "it's hot!". They my try a small bite, then quickly realize i wasn't lying, and then go off to their own plate.
My amazon will think nothing of walking across may plate, standing in my spaghetti, or gravy......it doesn't bother me, but I do make her get off. I'm trying to teach her NOT to stand on our food!