No. The fixes made in Service Update 1 were rolled into Service Update 2 along with additional modifications. The user only need run Service Update 2 after the initial SER 7.1 install.
Legacy KB System (APS) Data: RESL198183 V1.0, Originally authored by AnVa on 04/01/2009, Last Edited by AnVa on 04/01/2009
Related ranges: Sequence of Events Recorder (SER)