I believe that if we're playing a game with a house edge, where winning depends purely on luck, then bankroll management doesn’t really matter.
What you deposit is already intended for gambling, so whether you go all-in or divide it into smaller bets, the reality is that bankroll management won’t change the odds. It just adds an extra layer of stress in making decisions that, in the end, won’t really affect the outcome of a luck-based game.
I disagree. You still need bankroll management. It's true that the money we've deposited in our account balances is intended for gambling. The situation might change in an instance that we're not expecting.
Some unforeseen events could happen, and that money is being needed for that purpose, so we can withdraw it anytime we wish to. Or, if we're in a losing streak, doesn't mean that we can let all of it lose.
The odds and luck won't change but the other situation could change where in decisions like this could help us effectively.