blindfold players: do you visualize the colour of the squares?

I am not directly qualified to answer, but I happened to answer another post with this extract this morning:
IM Daniel Rensch did a great two-parter:
http://www.chess.com/video/player/achieving-full-board-awarenessand http://www.chess.com/video/player/achieving-full-board-nirvana
In those videos he also talks about visualisation improvement being in steps: 1) square awareness, 2) diagonal awareness, 3) piece awareness, 4) play blindfold (Nirvana!). So I think his view would be you definitely have to be aware of the square colours.
That spelling is perfect by the way!

I can play a crappy game of blindfold, but I don't feel like I'm completely qualified to answer either. I've heard from multiple titled players that they see a full board (usually 2d, as online or a diagram) as if it were in front of them. I don't know to what extent this is literally true. I assume it's as they say.
I see relationships and colors serve as an error checker (I don't "see" but I know all the colors automatically). So for example if I want to attack g6, I know c2 is connected along the diagonal. Knowing the color serves as an error check (a bishop on b2 will never hit a light square of course).
If I want to attack g6 with a knight, I have to think for a second, because I'm not used to that (I assume those who see a whole board know immediately). I go out a diagonal (g6 to f5 and h5) then I think of close dark squares (e5-f4-h4). If I wanted to get a knight to a center square, that's easier because experience (e.g. c3, f3, f6, c6). And again, color serves as a guide (e.g. a knight on b3 can only reach e4 in an even number of moves because b3 and e4 are the same color).
Anyway, I guess all this is to say that even if you can't "see" the colors of the squares, knowing the colors is very useful.