The mere fact that you are talking about "TV reporters" way of talking about things communicates that you have a disdain for the way such issues are commonly discussed in the media or by the general public, and correcting their statement about the study also seems to suggest that according to you really there is no gender wage gap (or it's less of an issue than people would seem to generally think), it's all just due to personal choice or preference in what type of jobs they do or something to that effect.
You can of course agree or disagree about a lot of these things, but I do think that sometimes a "mere factual correction" can have additional connotations that are much more political and not just neutral statements. It's often the opinion or suggestion behind the factual correction that causes more offense.