The difference between k001, k024 & k1x models is the BMW electrical system type/designation & diagnostics protocols. In simple terms :-
K1X -No CAN BUS, OBDII K-Line Diagnostics Protocol
K24 - CAN BUS, OBDII K-Line Diagnostics Protocol
K001 - CAN BUS, CANDiag Diagnostics Protocol
In terms of the GS911, The red GS911's handle all 3 ,model types & the old yellow GS911 only handle K1X & K24.
The latest GS911's have the 16 pin OBDII connector to suit the latest bike models & an adaptor cable is available to connect to the older model bikes with the 10 pin round connector. There is also an adaptor cable for the older 10 pin round GS911 WiFi's to connect to the bike models with the 16 pin OBDII connector