Yup- that is the cord you want. What you have in the cabinet is the typical end that gets mounted on the machines - yours is just mounted lower down.
Be aware, depending on how it's wired above the connection block, you may not be able to use a the foot pedal connected to the cord without rerouting the other.
This is because the incoming HOT wire above the connection goes into the knee pedal. So even when you press the pedal on the cord - it STILL needs to pass through the knee control before the circuit is completed for the motor to run. In effect, you'll need to push BOTH pedals at the same time.
It's an easy fix - you just have to take the wire going to the knee pedal and move it so it goes directly to the connecting block.
BTW - all the connecting block is - is a plug between the two cords. It's the way the outgoing wires are connected that makes the difference. With the early models, the foot pedal was hard wired to the back of that connector, instead of being part of the plug and on the "front" side of the connector.