I'm not sure how believable this is. If the BCC chain survives, exchanges "not interacting" with the BCC chain will have great implications on the scarcity of the BCC token.
It's way more likely that they will change their policy after angry holders aren't allowed their coins. The more expensive BCC gets, the stronger the incentive for those exchanges to cave or cheat. Regardless, most exchange's hot wallet addresses are known. The second exchanges cheat, everyone will know.
This is either a political signal that they are still on team Segwit or it's a very risky bet that BCC will die, made for the purpose of saving a few bucks in administrative costs.