An account that opens flat, trades minus 4% by lunch and closes plus 0.5% shows a green day in any daily record. The 4% is what you experienced, and it is what a prop firm's daily-drawdown rule would have measured.
The gap between intraday and end-of-day drawdown tells you something specific about the strategy: wide dips with good closes usually mean entries are early, exits are patient, or size is too large for the noise band. It is one of the few statistics that points directly at a fixable behaviour.
It also sets the limit you must trade under. If your worst intraday dip is routinely 4% and an evaluation account fails at 5%, you do not have a strategy problem, you have a sizing problem - and daily-close statistics will never show it to you.
Related: drawdown, daily-loss-limit, daily-drawdown, high-water-mark