What you said and what they heard are both real. Fix the gap instead of arguing about which counts.

Two people can give honest accounts of the same sentence and disagree completely. You know what you meant and they know what landed, and both are accurate reports of different things, which is why the argument about which is the true version never finishes. The gap between them is the only part that can be worked on.

Try saying that both happened, then asking what they heard, properly, without correcting it. Then say what you meant. Repairing the gap takes about two minutes and tends to end a fight that would otherwise run all evening.