Air will get into the wort just from surface agitation. So yes, it will introduce some oxygen but the real question is: Is it enough to cause HSA problems? My guess is that if it did, Jamil (or one of the many good brewer friends and judges that have tasted his beers) would have detected it. Also, some breweries and homebrewers do hot whirlpools and if done right I don't hear of HSA problems there either. I've heard/read that unless your really splashing around and making a lot of foam you should be fine.