From my view I see the underlying principle being the same - that having a system of reward/payment (be it grades or money) that is based not on performance, qualification, or ability, but solely on the fact of participation, takes away from a human sense of motivation to do well and to want to do their best, since regardless they'll be taken care of, or will get something out of it. Hence although I agree this 'experiment', likely fictional, is a bit trite and grandma-facebook-chain-lettery (that made me lol! so true), I see it as a fairly apt microcosm of macro socialist policy in society - if pay was equally distributed to all the average person would not exert themselves or desire others to, since few operate on wholly idealistic and altruistic motives, but want something tangible to reflect their output. Without this, most wouldn't bother - if at the end of the day, their tangible (financial) reward is the same. But yes, the example itself sounds artificial, but as a hypothetical it is certainly a plausible, even likely situation. Would people bother to bully others to do well in such an instance? Some might, most people would probably take it for granted that everyone else will try hard enough, and so expect a free ride.
Edit: I should add, I don't know enough about Obama's alleged socialist policies, but was quoting this article as addressing the pit falls of a policy which would equally distribute pay.