I imagine they're referring to either. The idea behind hot side aeration is that getting unnecessary oxygen into the wort at elevated temperatures causes some oxidation reactions, the products of which then carry over into the fermenter and the finished product. Some people think it's a big problem. Some people think its a myth. I personally go with the opinion of Dr. Charlie Bamforth, who is way more knowledgeable than I am in the brewing sciences. His basic assessment was that it is not a myth, it can indeed happen, but that for homebrewers, they are vastly more likely to cause themselves problems in packaging with regards to oxidation than they are to have issues due to HSA. That said, there's no reason to unnecessarily introduce oxygen while the wort is hot.