IMO that would be totally dependent on bullet weight and the powder used. Both the 9mm and 357 Magnum operate at the same pressure so it would be possible to produce a load that had identical ballistics in either caliber. BTW, an easy place to start would be with a 124 or 125 grain bullet and choose a powder suitable for the specific case capacity for each caliber but with a similar burn rate.

I'll also note that if you increase the barrel length to only 4 inches you would then find out that the larger case capacity of the 357 Magnum will always trump the 9mm out of longer barrels. Because 4 inches is enough barrel length to get a 125 grain bullet up to 1400 fps and that just can't be done with a 124 grain bullet in the 9mm unless you load it to a "proof" load pressure.