The Hamlet Project

I have just gone rather a lot deeper into facts on doves than I might have on another day. I’m just trying to work out what’s going on in this simile.

Patience, I get. Female doves are patient nesters apparently – but funnily enough, so are the male doves. They mate for life and take turns on the eggs.
The female dove DOES lay the eggs – usually in pairs – so a couplet makes sense.
And a couplet in a verse play has a lovely sense of doubled-ness. But a dove’s eggs are white, not golden.
And why are the eggs being disclosed?
Doves don’t leave their eggs alone for disclosure. So…is this dove in this analogy abandoning her eggs? And her partner suffers in silence? Or somehow Hamlet is the one whose silence will sit drooping?
Is it that a dove is drooping in silence after revealing her precious eggs? And so will Hamlet?
This is some fuzzy analogizing here from the Queen of Denmark.