“The Founders explicitly added the requirement for POTUSA to be a ‘natural born citizen’ and they intentionally did this as shown when they only required congresspersons to be just ‘citizens’.”
Correct. A SENATOR can be a NATURALIZED citizen. The PRESIDENT cannot be a NATURALIZED citizen. The only difference is that the President must have been born in the USA, and be at least 30 years old, and “been fourteen Years a Resident within the United States”.
The Founders in their wisdom and exactness of language as to intent added that little word ‘neither’ before adding the language/words you quote. As such in my thinking the first stated wording as to requiring a ‘natural born citizen’ was not abrogated in any way as being a specific requirement but was reinforced intentionally by providing that in addition to such the person must also have ‘..attained to the age of thirty five years, and been fourteen Years a resident within the United States’.