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Man, 'potentially' sure is doing some heavy lifting here. For those of you that didn't read the article, looks like they're talking about oxidation in the context of the introduction of outdoor ozone inside, combined with all the regular-ass pollutants from cooking, cleaning, etc. The oxidation cloud in question we produce is coming from our naturally secreted oils, which was dampened by lotions and perfumes acting as a barrier. The potentially harmful portion came from the interaction of said oxidation cloud interacting with whatever else is in the air, like what comes out of our sofa when we sit on it. It would seem to be that it's only potentially harmful because we haven't really studied these interactions that much yet. You'd be just as correct in saying it's potentially beneficial.
The real news to me is that we haven't really studied stuff like this that much. I would have assumed we would have studied the health effects of indoor air from this kind of source many times before, but I usually forget that I tend to severely overestimate the patience researchers have for controlling a variety of highly specific variables. ¯_(ツ)_/¯