im a physicist.
You are and are not correct, its all based upon the used assumptions. Skill of driver and such
1: At the point of slipping, ie with NO SPIN you will accelerate faster with smaller wheels always (assuming the coefficient of friction for the tires is the same)
2: At WOT for example, there will be an optimum tire/wheel size for the vehicle power as to transfer the maximum power/torque to the forwards motion without wheel spin (assuming the coefficient of friction for the tires is the same, as you say the bigger wheels are harder to spin but you still can so they are still not big enough, in this approach)
In 2 there is NO driver skill, plus the wheels would have to be big and there are realistically other factor such as rotating mass, tire wall height, compound. If you were to have a car in situation 2 with a guy who just floors it vs. a situation 1 car with a skilled driver, who can apply throttle such that it doesn't spin tires, then no 1 would win
If you are drag racing, you get smaller wheels, big walled tires, with super sticky compound and then you cant spin them off the line when you stomp it, you just get thrown forwards or bog the engine,but they would be crap for handling in turns etc
I have bigger wheels on mine, 18" with 255/35/18 tires. They are the same rotating radius give or take a few cm, but they are much heavier, have a better tire than stock and can still be spun up. in fact, in certain situations they spin easier cause there is less tire wall give than smaller wheels big tires, so the characteristics change all round, ie handling, straight line, acceleration through corners (aka drifting
)
But they look good, so thats all I care about!!
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'99 Z28 A4, 253 LS2 heads, 228R TSP cam, Patriol Dual Springs, Double roller timing chain, LS6 ported oil pump, OBX LTs, 3" True Duals, LS6 intake, 42lb/hr injectors, SLP lid + bellow, EFIlive COS 3 Speed Denisty Tune (self tuned), 3200 Circle D stall, CAI mod, KYB AGXs, Eibach Pro Front Springs, UMI panhard, LCA + Brackets, Strut Brace, Custom Subframe connectors, WS6 axle with 3.42s, 18" American Racing Rebels, US mirrors, 93 tail lights, 3.5 inch custom cowl hood. Mickey T's Street DRs on Vette-ZR1 wheels for the strip !
Best ET: 12.0 @ 116 mph (on a 0-60ft of 1.8 s)