Maybe CausalChainCrossings can explain the seemingly unscientific occurrences of the LatticeOfCoincidence.
I once heard it said (sorry, no references), that coincidences were nothing else but crossings over of causal chains.
E.g.
A => B => C
A' => B' => C'
where A and A' are not related and neither are C and C', but B and B' are.
Independently, these chains are quite normal. But the huge number of dependencies in everyday life will probably inevitably lead to quite a lot of these crossovers, which we regard as 'coincidences'.