To be fair mate, have you seen the moment the mob overpowered authorities on the outside? They stood back, then when people started running at the building, they attempted to push them back, failed because they were vastly understaffed.
You can talk all day about 'whatifs' etc. The facts we know:
- The mob knew it was unlawful to enter that building. They did it anyway.
- The mob knew it was unlawful to damage property. They did it anyway
- The mob knew it was unlawful to attack authorities. They did it anyway.
They continued onwards to break the law. All that was happening was an escalation. Continuing to allow that mob deeper into the chambers, what's next? A violent attack on a member of government? If that police officer/authority figure goes and pushes that woman back through the window, they push back, and they outnumber them 10x over. That's exactly what was happening the whole time and why they got so far in. Because they were ignoring the 'Stay back or we'll shoot' threat, it was an empty threat to the mob. Peoples life were in danger, and the whole situation was snowballing. The moment the trigger was actually pulled, it was a wake up call to those people.
"Oh shit, they actually will shoot".