If the aircraft are identical and are being flown with the same flap and AUW, then one won't get in the air quicker than the other. The thrust that pushes you down the runway is directly proportional to the speed of the prop and if both props have the same pitch and turn at the same speed, the thrust will be the same.
In your example, the more powerful engine must be using a coarser prop or the extra power would allow it to rev higher, ie until the drag and load of the extra air pushed matched the extra power.