I believe that single speed electric drive is a far better solution for 1/4 mile optimization than either manual or automatic multi-speed transmissions connected to ICE engines.
The combination of software and traction control can provide an uninterupted flow to torque along the entire length of the track. ICE vehicles are at peak HP/Torque production only a small fraction of the time going down the track as once they make peak HP they must quickly shift into a higher gear ratio, which takes them off the peak until the revs can once again reach peak hp.
In addition, traction is broken on each shift. Car stops accelerating and tires need to again begin applying torque when the next gear is engaged. This runs a shock wave through the wheels and down to the track as traction is broken and needs to be re-applied.
You can see drag racers weave all over the track with each agressive shift. The transmissions need to be disengage torque, shift to a higher gear, then reapply torque, but at a lower RPM, where HP is not at max.
The fastest rail drag cars make with just a single shift, going down the track. They wait to shift until their huge wings are applying enough downforce to make the traction necessary to handle the torque of the shift.