I believe you will find that the cross wires [rods] are not embedded in the pad. The clips go through the holes and then hook over the rod wires, which will be reused. They do not come w/pwd.
A tool can be mad by filing a small "V" in the blade of a thin, long reg. screwdriver blade. I/4 twist after the hook is placed over the rod will release the tool.

In the event you seats are of a special order, forget the above......