So one fuse is for the original fuse that you've plugged the "add a fuse" into, and the second fuse is for the additional circuit? So in theory you could double the number of outputs on the fuse board.
Correct. The instructions are on the packet as to which circuit is the original and which is the "extra". Both of the circuits get a fuse, which is handy.
The theoretical "double the outputs on the fuse board" is limited by the space taken up by each "add a circuit" plug-in. As you can see it blocks one or two other fuses.
Also, if your wife has a labelmaker or similar I recommend labelling the "add a circuit" plug-in so you (or anyone else looking at the fuse board) knows what's going on - especially once you get around to your second "add a circuit".