I think your assessment of the others is right. Someday I'll go through all their later albums. But Tabs is right that they're arguably a singles band. (Their cover of "Where The Streets Have No Name", a non-album single, is one of my favorites of theirs.
I like exactly one Barnett song, "Avant Gardener", and dislike everything else I've heard of her (although I can't remember if I ever listened to her whole debut album, I might have just heard the two-EP combo). Which is a pity because she seems like a pleasant person.