It might not always be true. All deposits have a risk. Its hard to know when do you get paid, as that completely depends on deposits coming in the future.
Once you deposit , then you have to wait for more people to deposit. Depositing a big amount in the start also might not help, as people investing after that, will not tend to invest due to the already high amount invested.
However, if a lot of activity happens during a time frame, then that might be a time he might have invested.
So if the game isn't salted at the start and later the operator feeds the Ponzi, I bet most players would like that. However that would be very high risk and just collecting the fat fees is low risk.