I use the same system as Icey, and I have used the same process on another 4 DS's, and never had a problem "flashing" the older bigger DS's, or the black and white DS Lite's. DS's need to be "flashed" to allow the Supercard to work.
However the new Ice Blue, pink and other newer coloured DS's are so far "unflashable" and thus are not compatible with the Supercard.