I have an entirely deranged theory about all those people. Including CCS in it. I believe that there are actually 2 different realities. One the clones experienced and one the originals experienced. In the original Sakura's father is Fujitaka and mother is Nadeshiko. Maybe sometime before Syaoran's time was turned back and was captured, Clow from Yuuko's world and Fujitaka-ou (or Nadeshiko. not sure)made a plan knowing about the clones. So when the clones' reality starts Sakura's father is Clow and Syaoran's father is Fujitaka. (still not too sure about Nadeshiko because she wasn't mentioned that much in the beginning of the story) The way I believed Clow from CCS came there was that on the day he said he was going to die he reincarnated himself. To me it also looks like he's transporting to a different dimension. Since time flows differently in other worlds it's possible that he was able to live a couple of years in Clow Country.
I know this sounds really odd but when I did a lot of thinking about it, it actually seemed to make some sense. Somehow.
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"When I see myself in dreams as a butterfly, and see myself as a man when I am awake, I do not know whether I am a man who dreams he is a butterfly, or a butterfly who dreams he is a man." Shoji from the Sung Kingdom
I found the quote in Petshop of Horrors
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