Didn't watch the video, I'm sure it's awful though. It's not that men don't get beaten, I think it's just because no one cares because it's not so pervasive, and doesn't tend to end in such gruesome ways as man on woman violence. However, I have experienced this double standards firsthand.
My first girlfriend was extremely abusive (physically/sexually/emotionally). I remember I made some joke about a zebra "earnin' his stripes" to my girlfriend (at the time). She punched me in the eye, in front of a bus full of people. No one said anything, but when I was getting off, a lady told me "that's what I get for two-timing a lady". I felt awful when I realized most of the people on the bus (people in my community who I saw everyday), were just going to assume that I "did" something to deserve it. My gf apologized later, citing that it was early in the morning and she on her period as her excuses. She didn't do a lot of damage, but I had a bruise. My parents basically laughed in my face when I told them she hit me.
Towards the end, she smacked me and I grabbed her by the wrists (while she continued to try to hit me), looked right in her face and said "you don't hit people, especially not me". She backed off, because she could probably tell I was just about ready to put her head through the window, but then later she ran crying to a mutual friend and said I had intimidated her. "My friend was all pissed at me, and I tried to explain what happened, and they said: you don't get it. When men act aggressive it's just different, it scares girls." As if I didn't understand fear, no! I wasn't staying out of fear, I was staying because I liked the way her stomach oozed over her lap.
Eventually I grew a pair, and dumped her like the heap of human excrement that she was.