Site class D is the default you use when you do not know. I'm sure site class C will result in lower seismic loads, which may allow you to classify in a lesser seismic design category. The lesser SDC's will allow for less stringent lateral loads constraints and are typically less expensive. If it won't allow you to reclassify the SDC, the difference in expensive will only be marginal. If you reclassify the SDC, but don't modify your design to use a more efficient lateral system, you differences in expense will only be marginal.
that being said, most geotech reports will not reclassify a project to a lesser site class unless you specifically ask them to. I don't think they mind, but most buildings are designed before the soil tests are completed (and as such are designed for site class"D")so changing to a more favorable site class does not generally do anything. and leaving it will be conservative.
Sorry it's not a cookbook answer.
G