It still has nothing to do with
the size of the contact patch as the amount of rubber on the road is the EXACT same regardless of tire size (assuming equal tire pressures). Like I said earlier the reason
a car with 15" drag radials can launch better than the same car on 17" drag radials has to do with the sidewall flex and
not necessarily the size of the contact patch (you'll also accelerate quicker w/ a 15" wheel due to the reduction in rotational mass).
BTW, a 15" tire with 50 PSI will have less surface area touching the ground than a 15" tire with 10 PSI. [WHICH IS THE POINT I WAS TRYING TO MAKE]
Now, I don't disagree with you that better 1/4 mile times can be acheived by running a 15" wheel as opposed to a 17" wheel, but the physics you've stated are false and there is a lot more that goes into the method of launching a car other than contact patch. There's friction, rotational mass, weight transfer, traction, contact area, etc... and there is likely a perfect balance of each depending on the application. For example, a bicyclist wouldn't get very far running a 215 tire and on the other hand a 700x23 bicycle tire on a 400 horse fox body Mustang would be completely useless.
Back to the thread topic, the OP was asking about the difference between a 17x10 and 18x10 wheel assuming he'd run a 315 tire on both.
The sidewall height difference really doesn't matter in this case. The biggest challenge with the 18" wheel is the added weight and not the reduction in sidewall height. The minimal additional sidewall flex would be hardly noticeable to most. Assume for a minute that both the 17" wheel assembly and the 18" wheel assembly weighed the same. I doubt you could even find a driver consistent enough to demonstrate the difference between the two. Again, this is an unrealistic situation as most 18" wheels weigh more than a comparable 17" wheel.