Touching on the original question for a moment,The reason for my answer is that I don't want the yeast that I just pitched to get coated on the inside of the fermenter on the lid. Much less above the liquid line. It doesn't rinse off as easy as one might think while stiring roughly or agitating. So I started aerating first,then pitching. It doesn't need to be stired at that point. It tends to coat the spoon anyway. And they seem to mix themselves just fine as they swirl around during fermentation.