I'm fairly certain this confusion stems from the police documents erroneously stating that the Cokestream/Appealstream was almost immediately pulled from Youtube and Rumble. The stream stayed up on Rumble even when pulled from Youtube, and it was only pulled from Youtube the next day, but people were assuming that the detective didn't watch it live and therefore had to pull clips from here.
I doubt it. They probably saw it live, and then when it was pulled from Youtube assumed it was pulled from both places.