If you go looking for a definition of 'spirituality' you find that nobody knows what they are talking about. The only good definition I have found is "anything that can not be measured".
Organizational structure means a collection of rules made up by men. They almost certainly are influenced by spirituality, but they do not discuss it except in a church, and maybe not even there. And an influence is not a link.
When organization of a church is discussed, spirituality is not even considered. Leaders of a church might claim that they have 12 members on the board because the bible names 12 apostles, but that only exposes their lack of learning: the bible names 25 apostles. Further discussion only exposes more silliness.