The American system was not intended to be as dysfunctional as it is. Its present state is a consequence of primary elections, which were a terrible idea created by people much dumber than the Founders.
One representative for every 50k citizens. Clearly the building isnt big enough to hold all those representatives. Force them to work remote and live near their people.
If the American system were actually intended to operate as you describe, that intent would have been put into the Constitution.