Is there a way to have a separate HDRI for reflections/background using Eevee?

[zanzio]

Try opening the shader editor, switching to world, and adding a node tree that is similar to this:

Hdri looks too saturated

You can use the light path node to replace what hdri the camera sees: [lightpath%20hdri%20swap] This setup will make any background shader that’s in the second slot of the mix shader what the camera sees. This will also allow you to use a completely different image from what is seen by the camera to light the scene.

You just use a different image for each background shader. The background in the second slot of the mix shader is the one the camera sees