You are correct, but our representatives need to be AWARE of this as well. Many representatives are in regular contact with senators from their states.
What the Republicans in the senate should do is insist the senate stays in session all weekend to address the disasters taking place in the US. Boehner asks congress stay in session for funding purposes.
Then when the Rats leave town, raise a stink about how they only care for their union brethren and not real Americans.
Alinsky 101.