I think you got closest to what I was asking, but not quite.
I did not mean to ask "if work can be submitted twice" as you say.
When mining directly / solo mining, I assume you still get rewarded for solving part of the chain, however, most solo mining nodes (including this one) do not relay those minute rewards (if any), only IF you solve the entire block. So that was the crust of my question, can a solo mining pool be set up whereby rather than (realistically) mining for nothing short of hitting the jackpot, the mining can be rewarded however lowly?
Thanks for explaining, and I am sure I am missing something that is obvious to yourself (but ofcourse very foreign to me!).
Glad to help. What you're now asking is exactly how your typical pools work. Depending on the payout strategy (PPS, PPLNS, etc), the pool determines how much to reward each miner for their contributions. In the case of this pool, the pool rewards the miner who solved the block with the entire 25
BTC. It cannot also reward all the other miners for their contributions (because there isn't any more leftover in the block reward).
P2Pool rewards miners who have shares on the share chain. It also rewards the miner who found the block with a 0.5% reward (so, 99.5% of the block reward goes to everybody else who has a share on the chain, and 0.5% goes to the miner who found the block).
Strict pay-per-share pools pay miners for every share they submit. In other words, if you look at the difficulty, right now you would expect 27428630902 difficulty 1 shares to find a block. So, let's say the block takes half of that many shares to solve. The pool pays out 12.5
BTC to the miners and keeps 12.5
BTC for itself. Now, if the next block takes 1.5 times as long as expected to solve, then the pool must payout 37.5
BTC to the miners.
I won't continue, since there are a number of threads dedicated to explaining payout schemes, but I will conclude with this: nobody is going to create a pool that rewards the full 25
BTC to the miner who finds the block, and also rewards every other miner for the work they've done.