On the burnout,their is no load on the engine,only rpms.When you have a dual pump built into 1 housing and putting out 95 gpm at 4000 rpms pump speed and no main jet altho they do have 1 side of the pump off on the burnout and until the car is ready to stage,it has to go somewhere.Since the faster the engine goes,the faster the pump goes,the blower isnt making much boost,so the engine is rich. Nowadays,the magnetos are putting out 44 amps of primary power and 950 millijoules of spark at the plug for 26 degrees of crankshaft rotation,each,they will relight as they arent on the throttle for over 3 or 4 seconds.
On a run everything is set for a max traction situation. When the tires start to loose traction,the load is taken off the engine and cannot burn all that is being pumped into the engine or the clutch is set too loose and this also takes the load off and cylinder go out and usually dont relight as its being flooded with fuel.Usually when a cylinder goes out,the rest of the cylinders go lean as they have to take up the slack of loosing 1000 hp and start to mix the fuel distribution in the engine.At this point,the engine says it needs to take a nap now.
When a driver has to pedal a car from either lack of traction or headed out of the groove,this also takes away load just like a burnout. Again,the fuel cannot be burned,so cylinders quit firing.