So, according to your article:
My two grandfathers were born in 1893 and 1895, in Brooklyn and Meriden, CT, to four alien parents.
When the War Department registered them for the draft in 1917, both of their draft cards gave three options for citizenship: 1) Natural born; 2) Naturalized; 3) Alien.
Both were classified as natural born.
I covered this with you the last time we exchanged messages on this topic.