Help, Strange reflections on metallic material 2.8

I’m trying to get realistic metal material, however the reflections seem incorrect. I am not sure if this a problem with blender or my settings.

Looks better with hdri but still the black reflection looks off.

Eevee looks better but still not satisfactory.

Recent post by another member on the forum having a similar problem.

@ [Comradebunny]
Eevee Metalic Material Reflections thread

Render settings for cycles default and enabled space screen reflections for eevee. Is this how the renderer is supposed to work and what are the solutions?

Can you post the .blend file?

Ring of Sauron.blend (905.2 KB)

You are seeing the reflection of the inside of the ring there, which is itself a reflection of other things.