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Originally Posted by Dave-ROR
Without doing the math, that longer duration but smaller advantage still wins, at least in the real world in my experience.
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IMO, overall and in general, same power/weight vs. same power/weight is going to be close, and be dependent on starting speed and finishing distance. Of course if a car pulls ahead, he can simply end it when he gets to redline and claim victory rather than suffer being caught when he upshifts!
Except from zero or low low speed roll, where gears will pretty much win every time, general overall acceleration performance is going to be the same, dictated by power/weight.
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Since I knew you have track experience I didn't think you'd misunderstand me there.
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Sorry, I'm a condescending ass by nature!
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By catch up I didn't simply mean under braking. I've passed a friends geared car under braking or just post track out, and would be passed again before the next turn. Datalogging, if he had it in his car, would show he doesn't brake as hard and has lower cornering speeds (obvious from behind by braking points). I have enough experience on track to realize if I'm actually closing a gap or not 
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I gotcha. But still, two different cars, two different drivers, and it's entirely possible he ekes out an exit speed advantage by being slower on entry and at apex... In any case, room for doubt!
That said, some cars will need a lot more gear than others. Wouldn't be surprising if the Type R (5-spd, 8400rpm 1.8 liter) is one. So yeah, I can see it....
In my experience with my bone-stock AP1, it's been pretty decently-geared for most tracks I go to (NHMS, Lime Rock, Watkins Glen, Mosport, Mont Tremblant). The one curve that it SUCKED at is the toe of the boot at WGI, where it's bogged down in 3rd going up the hill. Then again I probably wasn't going fast enough around it on street tires...
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I don't shift my car at 7,900.. come on now Assuming stock ECU at redline it's 82mph 4.928/91 4.400. At fuel cut, that bumps up 1mph each.
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Speedo might say one thing, reality is another!
On stock diameter tires, 890 revs per mile, 2nd gear = 1.458 (izzat right?), I'm getting 8400rpm => 88mph with 4.4s, 79mph with 4.928s
8400/(1.458*4.4) = 1309 wheel rpm = 78563 wheel revs/hr, divided by 890 revs/mile = 88.3
88.3*(4.4/4.928) = 78.8
Ah, well, close enough!
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I'd agree that given the right specific situation the stock gearing car would win. If nothing else, the ability to pass without downshifting on the highway is worth the 4.9 
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What I tell the AP1 guys eager to go to 4.77's for this reason:
If you just don't use 6th gear and keep it in 5th on the highway, you get the exact same effect for a LOT less effort!