Outstanding observation.
Although a support side weapon is a good idea, I don't think that is necessary in this case. I have taught several womens self defense classes and here is what I have come up with. Six extremely simple techniques. Eye gouge, knee strike, head butt, elbow, slap and grab, and a bite.
These are all very dirty fighting techniques, that can be learned with little or no training. The beauty is that they are all you really need to know. Remember although these techniques might knock out your attacker, they are employed to create distance. Once distance is created, the would be victim could draw a gun, pepper spray, stun gun, improvised weapon, or simply run Absent of a support side weapon, and maybe even with it, the goal is to create distance, so that the firearm can be drawn.
If you wanted to keep your tool box small(six techniques) then when you are attacked by someone grabbing your arm, as in the video, simply chose between a small number of techniques, to create distance. And the answer is, bite! If I was holding your wrist and you started bitting at my arm, I would let go. Then you draw the gun.
To a lesser degree, an eye gouge, a slap and grab to his testicles, and maybe a head but would have worked to. She never would have gotten in a good elbow or a good knee, and that is why I teach six, so that you have options, but not too many options. I like to give them a one two. For instance, he grabs your wrist, you eye gouge and then bite. He lets go and you draw your gun.