In co-op games, it would be helpful to show the dialogue line that the other player just selected while the NPCs are responding to it. Often, your partner will click on another dialogue option without you noticing the caret moving, or you won't have time to read their selection.
The player who picked the dialogue option does not need to see their own choice, but it would be helpful for other players to be able to see it without opening the conversation history every time their partner makes a selection.