Does the rules committee influence the outcome of a bill more than its sponsor

yes it does. This is due to the rules committee has the finial say of the outcome of a bill.  

on this day in 1833, president andrew jackson announces that the government will no longer use the second bank of the united states, the country's national bank. a national bank had first been created by george washington and alexander hamilton in 1791 to serve as a central repository for federal fund