Anecdotally, it seems to. I have laid down and closed my eyes even for a short while. And believe that I have even had a "flushing" sensation, that feels like a mental fog being lifted (or "drained", I guess).
I pop up 5 minutes later and feel completely refreshed.
Fwiw, i have the opposite experience of napping. Napping adds to mental fog for me especially for the hour immediately after napping. Its not until several hours later that i actually experience any loss of mental fog or increase in clarity.
When I owned some property out in the country, it was a 2 1/2 hour car trip to get there. Sometimes I just couldn't finish the drive home but pulling over to the side of the road for a 10-minute nap made me feel fully refreshed.
I pop up 5 minutes later and feel completely refreshed.