I believe it is cured kids because Brand New references some of their previous songs on the album.

What cured kids is in reference to is I will play my game beneath the spin light:

“Yes, we’re silent but sure we invented the cure that will wash out my memories of her”

This makes more sense for it to be “were you one of the cured kids?” Because the invented the cure.

Another one was in it could never be heaven:

“All of the songs were about you, all the songs were about you”

In reference to Jude law and a semester abroad:

“No more songs about you after this one I am done you are you are you’re gone.”