I too think this is normal behaviour. You want time to reflect and just be on your own. You realize how nice it is to not have to constantly worry about the person you love and what state they may be in when you see them.
I used to look forward to seeing my bf every friday night and then when thing got really bad, I would be secretly relieved to know I wouldn't see him until the next day b/c he lived an hour and a half away. We were in a long distance relationship and we both still live at home. I knew I had one good nights rest coming.
Don't think you are the only one who enjoys some silence and no company.