This looks normal, and I am not entirely sure what you mean - the Beauty is the regular Beauty without LightMix applied, and the LightMix pass is where you see the results of LightMix. If you view the Beauty, there will no effects from LightMix visible. If you change anything in the LightMix settings, the VFB will automatically switch over to showing you the LightMix pass since that’s where you will see the results of your changes.
I do not see anything wrong in the video either. Beauty does not have LightMix adjustments applied (this is expected). Changing any value in the LightMix tab of the VFB will automatically switch from the currently selected render element to LightMix (this is expected as well).