Whether Americans born abroad have natural-born citizenship or naturalized citizenship granted at birth is a present an obscure constitutional question not particularly subject to.
... one wonders why they felt the need to point out that naturalized citizens are citizens - maybe just clarifying that one state's naturalizations are valid in every other state as well?
No. Naturalization was already a Section 8 power of Congress, and worded so that States didn't get involved in the process. Rather the mention of naturalized citizens is a reaction to the Dred Scott decision which held that State citizenship and United States citizenship need not be equivalent. They are included so as to make it clear that for a resident of a State, one cannot hold only one of those citizenships.