First, I agree with all of the above: within existing lore it seems obvious that the transporter wouldn't be able to transport the one ring for several reasons having to do with magic.

But also, this is just a reminder that I think the transporters in Star Trek are so narratively uninteresting. I like Trek, but pretty much in spite of the tech writing. The degree of magic in their technology just does nothing for me. I wish we had more fiction that was like a cross between Star Trek and The Expanse.