This permission of a naturalized citizen to become president is an exception from the great fundamental policy of all governments, to exclude foreign influence from their executive councils and duties. It was doubtless introduced (for it has now become by lapse of time merely nominal, and will soon become wholly extinct) out of respect to those distinguished revolutionary patriots, who were born in a foreign land, and yet had entitled themselves to high honours in their adopted country. A positive exclusion of them from the office would have been unjust to their merits, and painful to their sensibilities
Regarding the natural-born citizen requirement itself, Storey writes:
But the general propriety of the exclusion of foreigners, in common cases, will scarcely be doubted by any sound statesman. It cuts off all chances for ambitious foreigners, who might otherwise be intriguing for the office
Storey’s words make it plain he does not have certain knowledge, and is merely speculating.