I am not sure I follow how an ICO would make sense to handle this.

In order to sue someone, you need to have standing, and you can only sue for actual damages (plus punitive damages). So someone who lost (had damages) $1000 in their btc-e account would be able to sue for $1000, potentially plus legal costs/fees and punitive damages.

Someone who invested in an ICO would not be able to recover anything simply because they are token holders of something unrelated to the ICO. Unless you are suggesting that the proceeds of the ICO would be used to purchase btc-e debt at a discount, however this would be difficult because afaik, there is no way to even begin to verify debt claims without access to the btc-e DB.