Could just as much be incompetence in communicating and coordinating. I get that all running towards one location because someone is drawing attention is not an option, it might even be an attempt at distracting LE. What's important is rapid communication up the chain and someone being dispatched to investigate.
Now look at the lack of coordination on stage. No clear leadership, everyone standing around Trump with no one clearing the path to the primary exfil, asking for a status update multiple times because no one is responding.
If that's the level of the close protection detail it's not hard to imagine the outer perimeter being even worse.
Someone climbing over the fence of the WH and moving through the building with a knife, pure failure on many levels. Political appointees being put in charge of such agencies instead of people with proven competency doesn't help.