Ingots beating coins is not related to the strength of the coin. If I saw a coin that looked like it could beat an ingot, I would expect it to come from something very similar to minting that was not in fact the same thing as the minting I know about. Or at least to be different from existing coins in a way more fundamental than merely being another level up from the strongest one I've seen.

I'm sure you've noticed what happens when I try to explain what my power sees... the reason I'm so sure that ingots beat coins is because I've seen a lot of coins and mints and ingots and all of them that I've seen have had a characteristic that referred to that relationship, and it's always been referring to exactly the same thing exactly the same way.