By default, Neo4J is not ACID compliant as it works mainly in memory, which fails the Durability part of ACID. I am not event sure that if you would configure it to be in sync with its stored replica, it would pass ACID test due to how Java handle the files internally.
Fair enough - my experience with Neo is at this point shallow at best. I had seen it in the feature spec is all. Should they be claiming they are if they aren't however?