I figured it would come across as at least slightly prickish because it was very very patronizing. I wouldn't say arrogant though, considering the majority of the comment was correcting the easily google-able falsehoods in the parent comment. Arrogant would be preaching your subjective political view while getting all the facts wrong.

I defend the use of patronizing mockery as a proper tool to discourage comments that smugly dismiss facts to push a political ideology.