Well, stick framing is always covered or hidden behind drywall or lath and plaster or something. In Timberframing, the members are usually exposed on the interior of the structure. There are exceptions, such as some early housed that finished interior walls with lath and plaster or similar.
Timberframing uses wood joinery without any metal fasterners. The timbers used in timber framing could be left rough sawn, hewn, or planed or sanded smooth, depending on what the final desired finsh was. Stick framing uses metal fasters, traditionally nails, but also screws these days as well. The first saw mills left 2X lumber rough sawn and therefore the dimensions were actual, whereas today, stick lumber is planed or has a fine finish to modern 2X dimensions and not actual dimensions.
Timberframing layout and assembly is quite precise because the frame will be visible, you want tight joints without gaps after assembly. Perhaps this is what is meant by "finished"? With stick framing, well you don't have to be nearly as precise in your layout or assembly.
I still don't know if any of this gets at what you are trying to find out.