Very unlikely to be an explicit tactic. Likely to be a result of RLHF or other types of optimization pressure for multi-turn instruction following.
If we have RLHF in play, then human evaluators may generally prefer responses starting with "you're right" or "of course", because it makes it look like the LLM is responsive and acknowledges user feedback. Even if the LLM itself was perfectly capable of being responsive and acknowledging user feedback without emitting an explicit cue. The training will then wire that human preference into the AI, and an explicit "yes I'm paying attention to user feedback" cue will be emitted by the LLM more often.
If we have RL on harder targets, where multiturn instruction following is evaluated not by humans that are sensitive to wording changes, but by a hard eval system that is only sensitive to outcomes? The LLM may still adopt a "yes I'm paying attention to user feedback" cue because it allows it to steer its future behavior better (persona self-consistency drive). Same mechanism as what causes "double check your prior reasoning" cues such as "Wait, " to be adopted by RL'd reasoning models.