Kirin J Callinan and Alex Cameron both like to invent characters and then write songs from the character's perspective as sincerely as possible. Sometimes the characters they are playing are just exaggerated version of themselves. They write 'serious' songs with elements irony and sometimes this means the songs fall closer to the 'parody' end of the spectrum.

I think their best attempt at this was Alex Cameron's album 'Forced Witness'[0]. Alex imagines what a Marlon Brando obsessed, porn addicted loner from the 80s would look like in 2017 with access to the internet. It manages to achieve biting satire and great song writing without devolving into simple parody.

[0] https://www.youtube.com/watch?v=KU01Rix_l2w - The lyrics of this album are very NSFW .. read the pitchfork review if you want to know what you're getting in to: https://pitchfork.com/reviews/albums/alex-cameron-forced-wit...