Sofirn SP36 - No LVP for indicator light on low?

I thought I read somewhere that LVP isn’t active for certain modes of the indicator light - like maybe if it’s on low, there is no low voltage protection and you can end up over-discharging the battery. Is that true? Is LVP active for all lights including protection for the indicator LED on the switch?

I’m having trouble finding where I got the info from, so I wonder if I was mistaken.