That particular family just happenes to have the SHORTEST connections between you and the person at the other end.
As one example, my connection to Queen Elizabeth 2 used to always go through my 3rd cousin. Now that this connection has been changed to Queen Victoria, my connection always goes through my brother-in-laws family. Anyone else who has close connections to the European royal families will also go through my brother in law as well.
Another example is in North America. I personally do not have any American ancestry or connections. So pretty much all American connections to me will be through my husband because pretty much all Americans have some french canadian ancestry or connection and my husband is 100% french canadian!!