Hi Manticle.
I'm more concerned about the loss of your avatar than HSA.
At various stages in my brewing past I used to strain hot wort though a common kitchen strainer - absolutely the best way to aerate it - yet I have never managed to oxidise a beer. I'm with the consensus on this; I think somebody just found a reason to worry which is pretty common in this field
BUT, your cooling regime provides you a couple of options which might have other positive effects on your beer, or effort:
Like if you wait for the wort to cool to about 60 you can take maximum advantage of natural cooling, since the temp difference to ambient is high, then chuck in your cold water and be right on or below pitching temp. This allows you to have a nice controlled start to fermentation (I find it's easier to control ferment temp when approaching from below).
Or if you chuck you cold water in at the start you knock down the temperature REALLY quick initially, which gets rid of any ongoing DMS production (a minor concern) and gives you maximum cold break for possibly cleaner and more stable beer. Nothing major but possibly useful tweaks.