I'm still not a lucky boy. My cable arrived and I connected it to KT. Whatever I did, the terminal was numb.
I use PuTTY (Win) and 115200 8N1 with no hw and sw flow control. When I interconnect TxD and RxD lines I can see typed characters echoed in the terminal. When Kindle is laying on the desk screen down and the connector is away from me (device upside down) I connected lines GND, RXD, TXD in left-to-right order. Matching colors on my cable were black, yellow, orange. Cable is decribed here on page 8.
Other three lines (CTS, RTS, VCC) I didn't connect.
EDIT: It works! It's just the other way around - pinout is TXD, RDX, GND from KT viewpoint. Cable lines are RXD, TXD, GND or yellow, orange, black.