Yes, I think they do.
The author just borrowed the title of Swift's article in the sense "here's a fun title based on a historical reference, for something that, for once, it's indeed a modest proposal".
They didn't intend it in the exact same way Swift intended it.
When I was a kid in the 80s, the parents of a kid in my older brother's class complained angrily to the school about this, clearly having failed to realise it was satire.
Here's an excerpt:
"I have been assured by a very knowing American of my acquaintance in London, that a young healthy child well nursed, is, at a year old, a most delicious nourishing and wholesome food, whether stewed, roasted, baked, or boiled; and I make no doubt that it will equally serve in a fricasie, or a ragoust."