Isn't it just the cost to mint a new coin that has to be proportional? As in, it can cost more than a cent to make a penny but each penny is used in more than o

Isn't it just the cost to mint a new coin that has to be proportional? As in, it can cost more than a cent to make a penny but each penny is used in more than one transaction. I understand that the transaction cost is also quite high with Bitcoin but that isn't intrinsically necessary (like the cost to mint is).