They prerecorded it so the performance that was broadcasted was likely multiple takes that was cut+pasted together with one audio recording playing over it
Inkigayo cameramen and editing were a mess and I think the hand microphones were a bad idea other than that they were incredible.
YG artists use hand microphones like 99% of the time - even with choreo heavy stages. It's kinda their thing.
If i remember correctly 2ne1 have never not used handmics and I can only remember one Big Bang stage where only Taeyang had a headset but that was back in 2011