According to the CAP theorem, every distributed system can have one property from the three: consistency, availability and partition tolerance. As most of the systems a vulnerable for partition tolerance the question is usually if they prefer consistency over availability or vica versa. Public blockchains prefer simply availability, if there is a network partition or a disagreement in the network, the blockchain splits or forks to two different partitions having two different knowledge about the world. Other systems, like Hashgraph try to solve the forking problem with different other mechanisms, however there is probably no miracles, if the blockchain can not fork in case of a network separation it will stop working. Simply put they prefer consistency over availability.