I've noticed this too when recording locally. To be clear, normal A/V desync is simple enough to fix in the video player or editor software. But this problem is different: there is only one audio track in the recorded file, and that audio track contains the desktop audio (including game sounds and Discord voices) mixed in with the microphone, and that mix is out of sync, and cannot be fixed in post-processing.
I noticed this in my own recording, when my replies to other players' questions seemed to come really quickly, and in one case when I said "yes", it actually overlapped with the end of the other player's question.
I've also noticed this in gameplay videos on Youtube, but I think they've had a bit less desync, so I only just realised they must be suffering from the same bug. For example, I've been watching Aculite's videos where he plays PUBG, and often he says "dead" at the exact moment he's shooting an enemy player. I've been thinking, "wow, he's really confident about his shot placement, since he knows he got a kill before even seeing it." But now it seems clear to me that his voice is also mixed in too early. He has no desync between the game audio and video (i.e. gunshot sounds are in sync with what we see).
Maybe this is the wrong thread for it and there should be a separate bug report, but this thread seemed to match the issue best, while other sync issues seem to be mostly about audio/video desync, which is fixable afterwards.