Said semi-awareness is often manifesting as me incorporating my actual situation into my dream, except adding an extra element which isn't there in real life but which exists and is realistic in the dream. As an easy example, while I was attempting a nap at round dancing before the dance, I dreamt that there was a chain link fence separating the back half of the parking lot from the front half, and due to circumstances today we were behind it.
We were in fact due to circumstances today in the back half of the parking lot, but there is no such chain link fence. The dream was almost otherwise identical to real life, including my exhaustion and trying to sleep, except I saw someone which sparked my curiosity.
This type of sleep is incredibly common for me right now. High levels of lucidity, aware of my surroundings with clear control over my thoughts, and yet my surroundings while 90% true to real life have a fantastical element added in. Other common areas for this to happen are in my bed and out on the couch, but the result's much the same. I don't think it's good restful sleep, because my brain is still active.
If anything, I think that it's making things worse, because it creates a dissonance when I wake up, a confusion for what's real and what's not, and causes me to go through the motions "out of it" for the time following, because I'm just stuck in another world, as it were. So instead of getting more rest, my mind gets more exhausted.
I'm going to attempt to counter it by sleeping early tonight. I work from 11-2 tomorrow. It's not even 11 PM. That'd give me 11 hours before I need to leave (I leave at 10), and 10 hours before I need to get up, so I'm thinking I'll try sleeping for a solid 9 (with extra to allow for time to actually get into sleep), to see if hopefully that fixes the problem. Meaning I'm going to bed now.