| Run your simulator with a shift time of 100 ms (1/10 second) instead of 500 ms (the default value of 1/2 second). Behold, the modded TT is faster: 
And look, if someone still takes roughly a third of a second to shift (pretty damn slow in a drag race), they still win with a modded TT:
The fallacy is that in your attempt to model the human component, you assumed every takes more than .3 seconds to shift. Watch one of Zo's videos from the drag-strip. Watch any video of anyone who knows how to shift worth a damn.
[ http://www.socalzcrew.com/gallery/main.php?g2_itemId=2805 ]
Why do you think increasing the gearing size is one of the first upgrades pretty much every amateur drag racer executes? There is a ton of real-world data proving you wrong. Your entire argument hinges on an arbitrarily chosen shift-time of .5 seconds, as shift times move to zero, the taller gearing falls behind.
Now, throw in an automatic transmission that's guaranteed (assuming proper functionality) to shift less than a third of a second, consistently and you're even more off base. Your model should have stuck to the math, and not attempted to incorrectly guess the human component.
Recursively Yours,
Kenny...
PETZ Member #5
You guys rock socks. (Click for pie-chart)
Computer Science is no more about computers than astronomy is about telescopes.
- EW Dijkstra
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The fallacy of your claim is your shift-time variable - 
