well ok. I thought since the VU meter already had an op amp it didn’t need another one. But I see your point.I'd swap the outputs, to that the first one goes to the audio and the buffer goes to the VU meter. Each op-amp will add some noise and distortion, even if it's only a tiny amount, better to have the cleanest signal going to the audio.
Technically, since the diode is in the feedback loop, its forward drop is reduced by approximately the open-loop gain of the op amp (which typically is very high), effectively making the forward drop negligible.The opamp in the VU meter is a "precision rectifier" with a small amount of gain. It rectifies the AC audio into DC and its opamp cancels the forward voltage of the rectifier diode.
R2 is not usually included in a precision rectifier circuit.Technically, since the diode is in the feedback loop, its forward drop is reduced by approximately the open-loop gain of the op amp (which typically is very high), effectively making the forward drop negligible.