In my opinion every exchange should use this wallet for the withdrawal of btc of the users Because they charge us 0.0001 btc 0.003 btc which is very costly for traders like us , so if they can implement segwit wallet in Thier exchange than in that case we can have better turn in trading in exchange for small small btc amount trading with more profit ( specially in case of arbitrage trading ) .
It would reduce the fees for sure, but only on the exchange's end. They pay your fees for you and charge their own fee on top of it, so they may not even reduce fees on your end. It completely depends on them. But yeah, it will be better for the entire network if exchanges use Segwit anyway, so I agree.