No reason to, -20 suit is good for 20 sec. 20 sec is a really long time and for a dragster it has stopped in 10 sec so no direct flame, Fire crew should be right on top within 5 sec, and if not , race someplace else.
The vid does not show how big the bottles or system is and only one nozzle. CF does knock down the flame rather quickly as evadent by the vid, but most rules require more than one nozzle location, so now lets take that into account when using halon to get a more realistic time.
By all means use CF if you can if you have the room, Its what I mostly install on my customer builds anyway, but you dont need to infer that halon is bad or does not work--- it works fine for the app. You will not find CF in airplanes both civilian and military , along with computer control rooms--- only halon as the CF is damaging to circuts