So stirring while hot seems really to oxidise the wort.
So..... Oxygen while hot is different than oxygen while cold? Ugh, beer is complicated.
I start recirculating when the chiller goes in. Not sure the exact temps but only a few minutes after boiling. It seems you would advocate to start recirculating after it's first gotten to be a lot cooler?
I always went on the idea that the yeast would suck any added DO up anyways, and of course we are adding it later anyhow. I wonder if one fundamentally changes the chemical makeup (hot) and the other simply has some DO mixed in (cold)? Might be, but seems hard to believe. I tend to think of heat speeding up chemical reactions, but they'll take place even when cold. Maybe it depends on how long the DO is in the wort, how long it takes to oxidize it vs. how long it takes the yeast to pull it out before that happens.
I start wondering what the pros do. The mega brewers that have teams of chemical engineers, that is.