Why don't you turn your phone to silent? I put mine on "Do not disturb" every night and switch that off every morning.
Sometimes there are whatsapp messages to read in the morning.
Only once in my life have I had a telephone call that mattered during the night. It was my parents calling to say my brother, who had visited me the previous day from London, had had a crash and was in a dire state in an Oxford hospital. They wanted directions for the Oxford part of their journey down from Lancashire. I told them to ring again when they arrived and I'd make my way to the hospital. I think one of the ICU nurses rang me actually.
Apart from messages like that, which hopefully are once in a lifetime sort of calls, and can be on a landline (as that one was; didn't even have mobile phones then), why would you leave your mobile 'open to disturbance' overnight?
I guess if you don't have a landline that might make a difference but bad news travels fast so you won't miss out, and good news can wait.
"Oh sleep, it is a gentle thing
Beloved from pole to pole"
Sleep tight ?