I am very sure that they can never be hit second time again, and would have put all the necessary measure in place to really guide against this, because if they get hit the second time, this may be the end to their reign, now that people still believe that it was just an over sight which has been sorted, they should better keep it that way and retain their respect in the eyes of the public.
I'm sure they felt they'd put all the necessary measures in place already. And then it happened.
The only time users will care about further hacks is whether it costs them money a la Bitfinex. Bitfinex are psychopaths and their customers are indoctrinated into a cult so that's to be expected. I don't think Binance customers would take so kindly to being forced to pay for their mistakes.
Binance are so rich they should be able to fund any reasonably sized hack themselves.