One advantage CSW has right now is that he has a deep pocket. If someone want to counter his claim, that person should have millions and millions so that he can go shutdown that mofo.
i'm not sure CSW has deep pockets, but calvin ayre does. that's who is bankrolling everything. if the two ever have a falling out (like CSW and roger ver did) then CSW will be like a fish out of water.
unfortunately, there's no way to "counter" his claim regardless of money. the copyright office will register any number of claims to the whitepaper or original source code. they will just let the copyright holders duke it out in court if there is ever an ownership dispute.
the genius of wright's move is that there's no way to dispute it. there's no way for him to leverage the copyright in any way, but some non-zero number of gullible souls will walk away from this believing it means he is satoshi.
The one counter the whole BTC community has is to ask faketoshi to move some BTC in to a known satoshi address and out again. Simple