"Muff" is not defined in basketball. So it's unclear if a muff occurs when there's player control, team control, no control. Using the word "muff" in a basketball conversation doesn't really tell you anything.
On the other hand, "fumble" is clearly defined as a loss of player control when the ball drops or slips from a player's grasp. So that tells us that there WAS player control, there is no longer player control, but there is still team control.
A muff, at least in a very loose "layman's" sense, simply means that a player was unable to secure control of the ball.
I would not use the two terms interchangeably. In fact, I would not use the term "muff" at all.
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