Since this was an "active" recall (you got a letter) and not a passive one (the dealer replaces the part when they come across bad ones) you are entitled to a free replacement part for your 2002 Alero, whether or not your car suffers from the defect. If it were me, I would go down to the dealer, politely ask for my part, and go home to put it on. If it's the turn signal actuator, it takes about 15 minutes and a philips head screwdriver to install.
Don't let these jerks get over on you... Let us know how it pans out!
-Brad