I doubt that; they sell and buy Zcash, Monero and Grin amongst other privacy cryptos, so why would a privacy upgrade to Bitcoin Layer 1 influence regulators any more than adding another privacy coin to their offer book?
Zcash listed on exchanges is NOT privacy coin, Monero is often not available for withdrawal from exchanges or they are delisted, and Grin has very low volume to have much bigger influence.
I didn't say that exchanges have the power to influence regulators, but they have power to support or not support new potential Bitcoin fork especially if they control bitcoin miners.