Carpet risk?

Opinions Please-What if any are the risk. I am adding safety equipment for vintage racing to a car that will still sometimes be driven on the street. SVRA rules require removal of "loose carpeting". This is moulded OEM glued and clipped down tight so I assume my choice to keep or not. OEM, rated for auto use, but mostly nylon I believe. Is it a significant fire or fume hazard???
I remove anything headliner/ carpet / fabric / undercoating i can.
You could always have short cut matting sections to place in for street use.
I am leery of the one time, i am upside down or knocked out, and far from a person with fire extinguisher.