I remembered that too -- that song that Courtney & Jordan were working on for Stevie. That was also back when there was talk of Courtney and/or Billy Corgan working on a solo album for Stevie. It seems like that just never materialized once Stevie decided she wanted to work with Sheryl.
Although flattered by the cover, Stevie said Courtney's Gold Dust Woman was a little "raucous" for her. If Stevie ever even heard the song Jordan & Courtney intended for her, maybe it was the same.
Christy, honestly, I'm not sure what Blinker sounds like either. I haven't heard their music firsthand.