It’s a beautiful poem but the metaphor is wrong.
You’re talking about politicized power. In family units, government systems, the law, and any other arena where power and authority are interwoven there is a relationship to freedom. You’re right curiosity, freedom, power, and disobedience are intertwined because someone has to be oppressed.
That’s not the case with Adam and Eve in the garden. Adam was initially alone. Eve was created so he would have a companion to help with naming the animals. The serpent promised her she could be like GOD and not die. She was deceived then took the lie to her husband.
The story isn’t about political power it’s about the false sense of power that comes from pride and deception. Before encountering the serpent Eve was provided all she needed and wanted. She didn’t know she was naked, didn’t feel oppressed, or confined. She was free.
It was the lie of the serpent that brought about the understanding that locked us all out of Eden. Had Eve not been deceived and Adam not been trusting things may have turned out differently but they were both punished so the poems metaphor doesn’t really work.