Striking/pressing with a shaped die is the traditional process, not least because the material itself used to be the store of value rather than the provenance of the mint— The coin shape was really there to certify how much gold/silver it contained and that the government had been paid whatever tax (seignorage) was owed on the ore.

Now that we’ve lived in a fiat-currency world for decades, it’s possible that new processes are being used as the concerns are different— anti-counterfeiting measures are more important than anti-shaving ones now, for instance.