Sort of 50/50

That cable in the link above only has the blue connector.
You will need to purchase the purple connector and pins from BMW, and then cable the connector.
But the purple connector only has 3 x wires going to it, so it is sort of 50/50 as to which way is easier
The 3 wires are 12V ignition, speed pulse, and reverse signal.

Both looms will work though.

And it is 'dead reckoning', not 'read recognition'