No, “interrupters” do not have to be “overpowered”. They just have to be interrupted, which is something they are expecting, and will stop talking to accommodate.
The back-and-forth of a conversation (including interruptions) is a collaborative endeavor, not a “confrontation”. Something like playing improvisational music together.
If someone often interrupts but will not easily allow themselves to be interrupted, or if someone completely ignores what the other person is saying, then that is just rude, not some difference in conversational culture. That’s not what we are talking about in this discussion though.
For people in an interruption-heavy conversation culture, someone who sits back and doesn’t say anything because there is never a long pause where no one else is talking – or who doesn’t jump in and say something when the interrupter starts saying explaining something they already know, leaving the interrupter to waste their time – seems cold and distant. The non-interrupter’s silence feels judgmental and antisocial. The interrupter will often interpret the non-interrupter’s behavior as an indication that that he/she does not like the interrupter or does not want to be part of the conversation.
Often this impression of standoffishness is inaccurate, a result of cultural misunderstanding. Just like the non-interrupter’s impression that the interrupter is confrontational or rude is inaccurate, also a misunderstanding.
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There are many similar kinds of cultural differences which can lead to misunderstandings.
When someone from a culture where each person gets a personal plate to eat from meets someone from a culture where everyone eats from a communal plate, each person can interpret the other’s behavior as rudeness.
When someone from a culture without much physical contact meets someone from a culture where people greet each-other with hugs or kisses, again, each can interpret the opposite behavior as rudeness.