I am saying that they should be "First Cord", "Second Cord", "Third Cord" and "Fourth Cord", but programming limitations made them all "Third Cord", just like programming limitations make the "Behold! A Paleblood sky" message never change.
(programming limitations here is just lazyness. The third cord one is more complex, but changing the paleblood message should have been trivial)
Just jumping in to say that this is absurd. The cords don't stack and each have different descriptions, so the game clearly differentiates between them. Saying that they had to have the same name because of programming doesn't make any sense. We probably shouldn't be making baseless assumptions about what the devs could program, especially when there's evidence to the contrary.
On the note of the "paleblood sky", keep in mind that you can see the blood moon early with enough insight. This suggests that Rom is hiding the true sky, much like he masks the Amygdalae. The person who wrote the note probably just had high insight (not unreasonable since the note is in Yahar'gul / near the School of Mensis iirc).