This is really not 100% accurate. You will only actually validate (confirm) a transaction if you actually 'find' a block at which point you will most likely (depending on your, or your pool's policy on transactions) confirm several hundred (if not thousand) transactions.
If you do not find any blocks then you will not validate/confirm any transactions.
Your miners work for the pool, pool operator divided earned btc between pool participants=you did process transactions (as long as your pool got blocks).
It is difficult to argue otherwise.
Only one hash solves the block. The other ~17,455,423,616,072,785,539,150 hashes are wasted. It's binary - you can't contribute to solving a block; you either solve it or you don't. If you have a 100PH/s farm and somehow mine for a year without finding a block, then scrap your equipment, you've literally contributed nothing toward solving transactions, contributed nothing to the difficulty target, and the equipment may's well have never existed except to benefit from the luck of others in your pool.
