I don't think any mass comparison is really meaningful, mind, but it's not that simple.
My point is, humans "in the wild" likely didn't have any equivalent to chess, because they didn't have sufficient leisure time. Chess is a product of an environment that's just as "artificial" as the one which produced cell phones.
I think the entire analogy is stretched a little thin of the players requiring all of this, but I also think the original attack on the Go AI based on it's mass is off base as well.
The response of the Iranian sages was the invention of Backgammon, to highlight the role of Providence in human affairs.
[p.s. not all Iranians are willing to cede Chess to the sister civilization of India: http://www.cais-soas.com/CAIS/Sport/chess.htm] ;)
Plus, not far away in the future we will be able to connect an smartphone to a 3D circuit printer and print a new one, to achieve 'self-replication'
But nevertheless, fitting so much computing power in such a small device is a great achievement.