They certainly never used to, but the OR equivalent oval medals always were. Thus AFC/DFC were unnamed - AFM/DFM were named (Same for RN/Army awards)
I haven't actually seen a DSC/MC/DFC since they started being awarded to all ranks sometime in the 1990s, but no doubt somebody will be able to say if they are now named - there are plenty floating round Odiham to check, for example!
Having said that, renamed medals are the curse of the medal collecting world and any self respecting ( ! ) Walt can easily get hold of very convincing copies and have them named up in the correct style - certainly good enough to fool the casual observer.