Some woman who calls herself SentientJessica tweeted:
Men who don’t wear jackets in cold weather do so with the express intent of intimidating women and to make women feel like lesser beings. If you see a man who is not wearing a jacket when you’re cold, then call him out his toxic masculinity and ego violence. #ToxicMasculinity
I tried to find anything that would indicate parody, but failed.
Update: … the follow-up tweets indicate parody.