So what?
The threshold for presidential eligibility is higher than simply being a mere citizen. Naturalized citizens aren't eligible either...they're citizens aren't they?
The threshold is native, which is essentially natural.
No judicial distinction has ever been made between the two. The argument you are making was tried once before in a presidential election and it did not work then either. Niether the courts nor the people of would ever care about some imagined difference between natural and native.