I'm on Klonopin for RLS and I seem to remember being told (and experiencing) the sleepiness hangover gets better by a lot, after some time. For me it was a few weeks. I can now take Klonopin in the morning if I want and don't get sedated.
I remember Mirapex before that. Mirapex is bad for me and a lot of my friends. It really made my RLS worse!
I am very new and am just responding to your last posts to feel like I can be of help right away. I hope this helps supportively. I like Klonopin very much, and take a low dose with no drugged feeling. Iron has been a miracle for me. First I got the "Ferritin" blood test and was bottom normal, and took 325mg ea.day. The very first day I felt so much better I could have gone on a crying jag.
There's an interesting view I adopt and hear often, but it's a little paradoxical. When I began to get better rest I ironically felt more sleepy. Personally I see it as a result of having been "running on fumes", then, beginning to know true rest, therefore craving it more. But dr's explained it to me: You have a lifelong sleep debt. You also have a situational (this week) sleep debt. You may feel better tactically (this week) from a little good sleep, but now your body wants to heal, it's going to need to repay that lifelong debt. IMHO, either explained technically or as a craving: once your body knows it doesn't have to prop itself up any more, it slumps, as if you always were that sleepy. Like, once you start curing a problem, you really feel it's worst effects. I think that's one reason Klonopin starts off worse.
I still have massive circadian trouble. But after paying some of my "debt", whenever in the day I go to bed the restorative effect is more clear. I wish it could be like when I was 6...