Send 1 BTC -> Withdraw 1 BTC and 1 BCG chip -> Sell 1 BCG -> Send 1 BTC + BCG trade profit -> repeat.
That's actually a good point, but we know that ChipMixer's reserve pool isn't all that large. Imagine how that will be in a situation where people see this as an interesting money making oppostunity. ChipMixer will get 'spammed' with mixing tasks, which eventually would result in a lot people desperately complaining about them being handed a voucher, while they had their eyes on receiving private keys with BG connected to them. Then new chips have to be prepared, and these new chips will not come with BG anymore. It's basically a first come first served situation. I personally will not do so just to obtain BG, because I find that people needing privacy shouldn't suffer any delays due to greedy people emptying the reserve pool.
Also being how the wide consensus seems to be that BCG is just a fake currency with no value, I don't think people will be able to profit from it as much as they might have done back when Bitcoin Cash itself forked from the main blockchain. Even now you still see some people strongly believing that Bitcoin Cash could be the future. I have yet to see one sane person do the same. If I had to guess, I don't think ChipMixer is concerned about people doing this "abuse" method at all, and neither is anyone else as far as I can tell. BCG is going to be DOA.