This is actually a good observation.
Notice how Yamato shares many of Shodaime's abilities, such as Mokuton use and Bijuu control. This is because he was a genetic copy of Shodaime, yet certain things he isn't as adept at simply because he isn't quite a true clan member.
So, with this, you could say that some are clan exclusive, yet others are Kekkei Genkai, thus discerning a difference between blood inheritance and clan inheritance. Admittedly, this is a bit of a stretch, but worth pointing out nonetheless.