Why don't you just admit you were wrong, and stop this nonsense? It is clear that who gets the reward for a block, and who "solves" it are two different questions. In pool mining, a group of people agree to share block rewards regardless of which individual miner solved the block. That agreement obviously has no bearing on who actually solved a given block.
If you think "that who gets the reward for a block, and who "solves" it are two different questions", then I am certain you do not comprehend that even in pool "mining" there must be an entity to receive the reward, what is not the pool participant. The reward needs to be transmitted (first transaction) to the entity which "solves" the block. You are failing to understand that the receiver (thus the "solver") it is not the pool participant.
How does Eligius pay out directly from the block then if it must receive the block first???