No, in QC, as Dancat says, the vehicles just sit there and stutter. They are not moving at all. However, the vechicles found in "Missions" do seem to move.
I've checked this out. The targeted vehicles do not move in QC in a "vanilla" CFS3 install, in ETO or in MAW. (Can't tell with PTO since I cannot located any available rail traffic or convoys, this being the Pacific and all).