That is only the case for an individual investor that (ab)uses the offsite investment system to risk more than he actually has.
The offsite system is meant to allow investors to lower their counterparty risk and free up liquidity by not depositing their entire investment. I strongly recommend to only use it for that purpose. If you use the offsite system properly or don't use it at all, you never have an expectation of negative growth.
This statement is false, just think about it. Suppose there are two investors, A and B, and each have 50 btc onsite and 50 btc offsite. A is lying about it but B isn't. Why would A have -EBG but B have +EBG? Whether they are lying about it is only "revealed" when their onsite gets to 0, so why would A's onsite go to 0 whereas B's onsite doesn't - even
before it is known whether they are lying or not? Surely the site can not predict the future of whether A or B will turn out to have been lying, and then set A to -EBG and B to +EBG based on predicting the future. Whether they are at +EBG or -EBG depends solely on their onsite and offsite, obviously...