Huh. It's my impression that 2-3 seconds of talking over someone else is not "quick". To me, that's a long time to keep going.
I have a similar thought pattern with who's thoughts are more valuable - but my perception is that the person butting in knows what I am saying and what they want to say, whereas I only know what I'm saying. Therefore, they are in a much better position to determine which thought is more valuable, so my best course of action is probably to pass the baton.
Honestly you might be right about the 2-3 seconds. It's one of those things that happens pretty quickly and naturally, so it's very plausible I'm judging the timing wrong.
But yeah, 100% agree with what you're saying, but the part I'd add is that if I think that they think they know what I'm saying but are likely to be wrong, that's when I'll keep talking over them as they try to interrupt. That might happen if I'm about to make a point that's counterintuitive, so they've likely misjudged where I'm going.
My mom (from whom I definitely learned to be an interrupter) and I do this to each other in more direct fashion with a "no no, shush, I haven't made my point yet," or something along those lines. But that obviously only works because it's just a normal conversational paradigm for us, and neither of us would ever get offended.
I have a similar thought pattern with who's thoughts are more valuable - but my perception is that the person butting in knows what I am saying and what they want to say, whereas I only know what I'm saying. Therefore, they are in a much better position to determine which thought is more valuable, so my best course of action is probably to pass the baton.