FPS encounters are a zero sum game. As soon as one player’s spread gives them the headshots, the other player’s spread stops tossing coins.
The critical factor is not the accuracy over 15 shots, but who gets enough hits in first to get the kill. As the average number of shots required to get a kill rises above the number of hits required to get a kill, the lottery tends to 50/50 incredibly quickly, because those initial shots as one person catches another off guard mean less and less.
As shots taken are worth less and less, the duration of encounter lengthens, because it takes longer periods of fire to score your hits on average. That extra time allows players to move, duck, find cover, because returning fire isn’t as important. If anything, random spread destroys the value of cover and strategy, because it doesn’t matter if you thought about it in advance of just grabbed some after the fight starts.
DO NOT WANT.