pixelate, the VP almost never presides over the Senate. It is presided over by a President Pro Tempore, who acts as the Senate President. The only time the VP is there is when there’s a tie or other important events like the opening or certifying the electors.
The same is with the House, the Speaker can give over authority to other Reps to act as Speaker and that is what is often done. The room is usually empty because nobody really cares for what the other guy is saying, or the other members are in meetings.