"A perspective on Companies versus Fighting Households: A Company is like an army. It is designed to win. A Household is like a martial arts school. It is designed to produce winners. Hence, while either Companies or Households could be exclusive, Companies are generally exclusive, to ensure you all end up on the same side, where as Households are generally neutral about who you fight for, so long as you bring honor to the Household's teachings and methods."
This is my idea.
I'ts an idea I've had for quite some time: a noncombative household only for training fighters. Names I've considered;