Yes, on your scale it appears that is the case. Most definitions I've seen have a -3 constant to zero out the normal, but if you say that's weird I won't argue. Incidentally, why didn't you extend the kurtosis scale to allow for a platykurtic distribution?
EDIT: to the original question, I'm not suggesting the distributions should have different scales, but rather that the scale of both should be static.
EDIT: to the original question, I'm not suggesting the distributions should have different scales, but rather that the scale of both should be static.