Lehrbuch
First Post
...an ever changing set of demands on coin makers as different people came into power, and no way of recalling previously made coins.
That's not true. As old currency returns to the imperial or royal treasury (or whomever owns the mint) it is melted down and re-cast into the currency of the new emperor/king.
That's also assuming that the new regime is not actively hostile to the previous and forcibly seizes all images of the previous regime (to melt down and re-cast). Which happened historically at various times.