Roger Sherman didnt think foreigners or naturalized citizens should be enjoy the same privileges and immunities of American citizens.
While Nathaniel Gorham expressed disagreement, James Madison uncharacteristically jumped all over him.
A significant problem with the Articles of Confederation was that treaties signed by Congress were not binding on the individual States. Despite the Treaty of Peace with Great Britain which required American courts to recognize the standing of British Citizens to sue for pre-war debts, States passed laws specifically denying their right to seek payment.
In response, the British continued to hold frontier forts and encouraged Indian attacks on American settlers. The war was over in the East, but for most practical purposes it continued in the West. The Articles were getting Americans killed.
Treaties, along with the Constitution would soon be the Supreme Law of the Land. Under it, Supreme Court Justice John Jay would shoot down laws that prevented British citizens from suing in State courts.
It's a long read, but shows how much debate was put into the formulation of our Constitution.
And apparently the majority were convinced as well since the document agreed to contains just such a provision.
Article II, Section 1
"No person except a natural born Citizen, or a Citizen of the United States, at the time of the Adoption of this Constitution, shall be eligible to the Office of President; neither shall any Person be eligible to that Office who shall not have attained to the Age of thirty-five Years, and been fourteen Years a Resident within the United States."
As anyone with the ability to read the English language can see they CLEARLY made a distinction between a natural born citizen and citizen ship attained by other means.