In FONV, we have an anti-scumming "feature" that makes you wait through the entire command prompt bit before the actual minigame proper starts.
However, as before in FO3, sometimes you never get an "allowance replenished" bonus once you use up all the bonus brackets. One is leery about using the brackets before making the first pick in the event that you accidentally trigger the allowance replenishment and waste it. And once you're on your last try, and the "dud removed" bit still doesn't narrow it down to anything less than a total crapshoot before running out of bracket bonuses, you have no choice but to exit the monitor, and wait through the annoying scumming-guard.
So. I think there should always be at least one bonus bracket in each minigame that replenishes allowance.