If you look at the entire agreement, the enumerated paragraphs define the agreement between NH and PA. Enumerated paragraph 1, states that permit holders from NH (with no regards to their citizenship) are considered valid while carrying in PA as long as their permits are valid. You're good to go. Also, check out the reciprocity maps here on this site. They concur with this interpretation of the reading as well.
The paragraph that mentions citizenship explains why the two states entered into a reciprocal agreement in the first place, to extend reciprocity between the citizens of both states... great, but what is covered in the agreement is within the enumerated paragraphs. When states put limitations to only citizens from the state the permit is issued, they will make it very clear in the verbiage of the agreement