Updating: After buying another batch of cables, I finally got a connection and can install firmware on the cardputer. For reference, it was this cable here. There is no specification, it is one of the cheapest you can find. With it, I just pressed BtnGo and connected. In fact, the S3's LED did not blink or light up at any time.
Thanks everyone for the comments, it was a long thread. xD
Maybe we can learn with types of cable doesn't work with cardputer and why they don't work after all. xD