No, it’s supposed to show how sharply she dersses, i.e. how expensively, which conflicts with her narrative of being not so well off.
When I used to live in LA, so many people drove Mercedes to project a certain image, although they were nothing more than apartment renters in a run-down part of town. It might be the same for this socialist from NY: dress up to the Nines to give an image, but creep back into your hovel late at night, in secret, maintaining the illusion.