Is a space bank lottery really worse than t-bills? Like is the average utility gained from a depositor from their $1000 turning into $1001 for 1000 depositors

Is a space bank lottery really worse than t-bills? Like is the average utility gained from a depositor from their $1000 turning into $1001 for 1000 depositors greater than the utility gained from a single depositor turning $1000 into $2000 while the other 999 depositors utility remains flat?