Minimum FPS tells you how consistent the framerate is between the highest and lowest frames during a section of the game. If the minimum framerate is lower, it means that the game slows down more, and that is never good. You always want the minimum framerate to be as high as possible. That ensures a smooth gameplay experience throughout. As a metric of performance, it tells you how well your system copes with the data load in the most intense conditions in that said scene.
Basically, you're dead wrong.
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