It seems to me that the transition from wealth to being "on the bridge at midnight" is far too sudden and perverse to be anything other than an addition (or, if the song was originally bawdy, a remnant).

Either way there are two seemingly opposite climaxes.

If she's a millionaire, what's she doing on the bridge in the first place? Besides, the switch from the subtlety of "they never can forgive" to the "blackheads" business doesn't seem plausible as the work of a single brain. telling a coherent story.

But mind you, I'm only talking about the supposed original. If the verbally tame "champagne" version is a rewrite, anything becomes possible.