Is the Elden Ring literally the Crucible?

I have no idea if this is common knowledge because I just put this together

The Crucible is both represented as a tree and a source of power, in the great tree and the Crucible current in Hornsent sorcery. The Elden Ring is also represented both as a tree and a more primal force, both share the same source of power. I was confused how the Elden Ring could be essentially the world code, but also be introduced relatively recently into the world’s history when Marika ascended. There’s also the more natural, less rigid appearence of the elden ring that shows up in ancient farum azula.

Is the Elden Ring literally the same thing as the Crucible? Just forged into a more ridgid and… ordered form? That would explain why it’s both fundemental to the world and foreign to the world at the same time

This sounds really plausible so I have no clue if it’s a common theory