I saw an even worse fight in Belgrano last Friday. There was a mild fender bender between a teenager with a man-bun and a middle-aged taxi driver. They danced back and forth with their fists up while people walking their dogs yelled, "pará, pará!" Should have recorded it.
You want to see two women who know that they're doing, here's the full fight between Meksen and van Soest from last November. It's super bantamweight women's kickboxing title match in the Glory league, 55kg (~120 pounds) so don't expect any knockouts. It's interesting how different this is from MMA - more technical and points-based.