I read through this link you dropped in your post, they were differentiating between blockchain and hashgraph.
http://www.thewindowsclub.com/what-is-hashgraph
In their explanation they said that hashgraph was to fix the setbacks that the blockchain network has.
Now I get, this is where i got it wrong.
Hashgraph, on the other hand, claims to support a superior data structure capable of solving many of the problems that the Blockchain community has been struggling with for some time like, consensus mechanism.
yes, claims being the "key", if it actually can still remains to be seen for a number of reasons described in the post, and in some of the other comments as well.