I used to say that one good thing about a binge was that I got two good nights' sleep out of the deal. The first was really passing out and the second was collapse after a day of harrowing hangover, but at least it was sleep. When you're lying there staring at the ceiling at 4:00 AM, any sleep at all sounds good.
My sleep baseline is disrupted and always has been. That hasn't changed. However, a year into my cure, it's clear that the alcohol was actually making things worse in the long term. Short-term fixes aren't inherently bad -- whatever gets you through the night is all right. Unfortunately, alcohol has too many negative effects to be useful as a sleep aid. It disrupts deep sleep patterns and ends up making everything harder.
The sleep thing was a transition, but it did work out. I had some old 10mg valium tablets and took half of one maybe once every week. This allowed me to rest, which helped me cope with the low-sleep nights.
I'm not sure what my point is.

I guess it's that we can recover from whatever part of the sleep pain was actually from the alcohol, which then helps with not "needing" alcohol to sleep.