It was likely a plastic valve from her leg or tummy catheter system. Likely dislodged when they were grabbing her underarms, at the first sign of collapse.
But, your theory/vanity is funny, nonetheless ;-) ILLary Life plug.
The video where the bald white ss coves from left to right, watch as he turns,shirt to camera,at that moment you can see a needle inhis hand,then watch how he secures her arm for injection, he knew the shot would drop her and why no panic