And yet, the government doesn't agree with your claims. It says the Sergeant-at-Arms reports to committees, not the respective house leaders.
Is that what the standard operating procedure states? How about posting the documents that dictate how they do their job. Oh, sorry, you can not do that, they are classified.
If anything, you have just proven how inept Nancy Pelosi was at governing the security of the Capitol Building. All the power to write and review and improve the laws, rules, and regulations, yet she failied.
So it is your belief, during an emergency, the Chief of the Capitol police must go to the Capitol Police board, which he is part of, and ask for the National Guard. And during that emergency, the Capitol Police board must contact committees, which are not in session, and ask them if they can have emergency powers?
You brought it up, so which committees, obviously it is not one, so tell us how during an emergency this all works. If you dont know, just say so.
There are chains of command, Who does the Sergeant at Arms report to?