Strings are certainly not a factor to compare MIM to MIA.
Otherwise, practically speaking (with my 2011 P Basses - MIM & MIA), the main differences are:
Pickup (MIA = Moderately Hot & Middy, MIM = Very Hot & Trebly)
Truss (MIA = Graphite at neck heel, MIM = Steel at nut)
String thru option (MIA = Body or Bridge, MIM = Bridge only)
Shielding (MIA is better shielded than MIM)
Hardware
Again, the truss rod is NOT graphite, the reinforcement rods are.
