Banning Zcash from exchanges due to it being a "privacy coin", means that all ZEC are essentially tainted.
But exchanges can afford to do that because Zcash and all its pairs make up a tiny amount of their volume. If all bitcoin transactions suddenly became 100% private tomorrow, the vast majority of centralized exchanges would either have to accept that or shutdown since they would not be able to survive without the volume of bitcoin and its trading pairs.
If you look my previous posts you will see that I said the same thing for monero, but they are still better than zcash in almost everything.
Not to get too off topic here, but I agree. There is no doubt that Monero (or BitMonero as it was called at the time) had shady beginnings, but the fact remains that Monero as it exists today is open source, verifiable, and importantly trustless, which cannot be said for Zcash. To use Zcash, you must trust completely in the set up process and the six individuals involved in that process. This is a complete non-starter as far as I am concerned for any currency, least of all a currency which styles itself as a privacy currency.