The link points to a different kind of connector, while it's not 3 pin (the two additional pins are a bit in behind the row of 3 pins) it's wrong and won't work.

However I did not need a new connector, just solder back the current connector and it now works fine (until next time).

One thing that isn't to clear is that the battery and speaker wires are pulled straight up from the board, not sideways in the connector as I first thought.