I guess that "maxluck" is the maximum luck value for all mining nodes in the whole network. It means that instead single, simple proof of work, everyone is calculating some luck and the max value is broadcasted to the network. So: the more nodes you have, the more chances are that you will hit "maxluck". And the more luck you have, the more chances you have to hit the next block.

To sum it up: in proof of work you are calculating the lowest block hash meeting the target and then you can broadcast it when you find it. In luck, you are calculating the highest luck value and then you broadcast it. So there is really not a big difference between mining blocks using proof of work and mining it using luck. Shares in proof of work are basically the same as luck here. You can create some pool and encourage people to find the highest luck and pay them accordingly to their luck. Later, you can just choose the highest luck and encourage everyone to mine on it, because there are the highest chances of finding a block. And since there are many miners trying to mine on the same luck, it will probably be found faster than every solo miner, because you have "difficulty*numberOfMiners" instead of "difficulty*1", so it is "numberOfMiners" times easier to mine a block.

I hope I am wrong, but it seems that creating pools will still be possible here and they will be profitable.