I suppose it is possible, but I tend to doubt it because he legitimately seemed surprised at the ease they got in, and the course of his path to that door didn't seem deliberate to me.

I think that he reflexively called out when he saw the gun. Well before Ashli jumped up to go through the window. It was loud and clear on his stream, but if you watch the "Banned video" you can't really hear it, so I think it was just so loud and chaotic that Ashli didn't hear it. She was also pretty short and would have had difficulty seeing clearly over the barricaded furniture.

You can see swatted out police with weapons, some of them pointed at the door, on the otherside of the Speaker's Lobby. I think this gave hesitancy to nearly everyone there to proceed, having just seen the congress evacuating the lobby. It may have felt dangerous, or at least that being the first person to cross the barricade would have you isolated on the other side and susceptible to immediate arrest.

I don't know what would have happened if she hadn't been there, but she acted without hesitance and was up on the barricade and through the window in seconds. It seemed like before people really registered what she was doing.

I suppose it is possible, 

but I tend to doubt it because he legitimately seemed surprised at the ease they got in, and the course of his path to that door didn't seem deliberate to me. I think that he reflexively called out when he saw the gun. It was loud and clear on his stream, but if you watch the "Banned video" you can't really hear it, so I think it was just so loud and chaotic that Ashli didn't hear it. She was also pretty short and would have had difficulty seeing clearly over the barricaded furniture. You can see swatted out police with weapons, some of them pointed at the door, on the otherside of the Speaker's Lobby. I think this gave hesitancy to nearly everyone there to proceed, having just seen the congress evacuating the lobby. It may have felt dangerous, or at least being the first person to cross the barricade would have you isolated on the other side and susceptible to immediate arrest. I don't know what would have happened if she hadn't been there, but she acted without hesitance and was up on the barricade and through the window in seconds. It seemed like before people really registered what she was doing.