I have always thought that wearing an exxagerate outfit was more likely to be a females idea, and that a guy would just wear a hat, sunglasses, maybe bandana.
I think the outfit (regardless of gender) if for identity concealment, protection from weapons including knifes and guns, protection from physical attacks such as punches and kicks, AND to lower the chance of forensic identification such as skin cells under Missy's fingernails. In addition to this, I think it was also worn for the benefit of all the pockets, to hold the gadgets and tools they took with them.
There are a lot of mannerisems in this video that look masculine to me. For instance, when the perp is done messing around with the crowbar on the door and reaches into their breast pocket. The perp also looks very masculine when they are walking into the hallway, walking to open the door before they go into the hallways to break the glass. Some of the perps mannerisms perhaps have a sassy and/or maybe (for lack of better words) "homosexual" sway to them.
I have seen many, many morbidly obese men that walk (or waddle rather) with their shoulders curved back, their belly poked out, and their arms swaying in a very "less than masculine" way.