honestly i dun dare to say, because i'm not a pro. i just speak according to my common sense.
this doesn't apply to the tire you burn when you jump off the line, as bigger rims will be heavier thus less wheel spin. but its when you do cornering.
if both tire has the same amount of grip if judge by the compound used, the one with lower profile will lost traction first if do hard cornering. because higher profile tire will have overall softer sidewalls, which will move abit and act like a buffer of some sort.
i pick up this info at
www.tirerack.com, under tire tech section, alot of good reading.