The failure of faucets as a distribution paradigm is an important economics lesson.
What it teaches us if that users only do a mundane activity with no value to obtain coins, then they don't value the coins very much either.
If we want to distribute coins to users and have them place a high value on them, then either they must expend their money (e.g. ICO or cost of PoW mining) or some other way they can express value through an activity.
The design of my marketing plan hinges on this observation.
Not necessarily. If the partitions are provably self-contained then all partitions can be added to the same block without having partitions validate each other.
As long as the block producers are aware of all partitions, this is valid.
But do they have an incentive to? Is the Nash equilibrium lost?
This was one of the issues I had to work through in my design.