Keep in mind that withdrawal for Binance brings withdrawal fees and it's not a good business to withdraw such small amounts.
Probably OP will spend almost the same or more in withdrawal fees than what is required to send in it's copper membership. As far as i can remember binance has 0.0005 btc for withdrawal fees, now it requires to send 0.00063880 BTC for copper membership. So, yes, if op has lots of balance to spend then just let him/