Thank you Wyzazz, but I think we're talking about 2 different things.
It is (as far as I know) widely accepted that, after the boil the wort need to be cooled as fast as possible - This is the Widely Accepted way to go, but you can also do a "No Chill" batch.
and without disturbing it much - Only after fermentation occurs is disturbing the wort a big issue. After fermentation it's no longer wort but beer.
because if you introduce air to the hot wort there's a strong chance it will oxidize, instead of the air just stay in suspension. - Again, really only after fermentation is this an issue. You actually want to aerate/oxygenate your wort after it's cooled & before you pitch your yeast. IIRC we are aiming for 10PPM of O2 for an optimal fermentation. You can only get to around 8PPM without pure O2.
I don't know to which point it's true or not, as I've never brewed yet, but it seems to be the consensus here.
My question is, being that while mashing the wort is pretty hot, wouldn't we run the same risk as if we aerated it when hot after boiling? - Nope, the boil removes the O2 from the wort.