Different sky for reflections

I have a scene where I’d like to have a white background, but I need the environment to be excluded from the reflections.

Ideally there could be a visible sky and a reflections sky…or maybe an exclude sky from light probe option?

Please try using single pixel white HDR sky image, such as: https://drive.google.com/file/d/1fC1ITcDCQvGQ0M1TqcudWLd-MSZMRG3Z/view

For LDR skies a constant strength is used for reflections, not configurable from the editor. For HDR skies, an actual strength from the HDR format is used, so you can get much weaker white reflections.