Now where you are getting it wrong is expecting the miners receiving address to display in your hash but it doesn't work that way. The fees go the the mining pools address but it's not visible via your transaction hash because your transaction hash is meant to display and show data and Time stamps for only your addresses and not the mining polls address.
Let me see if I understand what you are saying. Within blockchain explorer, I know how to find the fee for a given transaction within a block. And I know how to see the total reward (base reward + fee reward) for writing the entire block.
So if the fees do not appear in my individual hash (and in all the other individuals hashes within the block), I assume there must be a separate, unique transaction that records the total reward for the miner. Correct? What does this transaction look like? Does it also have inputs and outputs?