I see that you have a lot of knowledge and I have been looking for information for several years. Do you know the story of this kamon? It is worn by my wife's family. It's Maruni ken Hanabishi; it is exposed like this in the house of the grandparents
Generally I think you will find crests being used by different clans as they adopted symbols and crests from previous/other clans with which they were affiliated or to establish their legitimacy. For example a similar pattern is found in use by the Goto clan or Uku clan.
These two pictures downloaded from here have the Goto clan and Naito II using mon with a similar pattern: