Yeah that CDI box is exactly the same as mine. Its even made in the same year and month as mine.. At least my old CDI where the pictures are from.
I have tryed removing 1 of the pink/purple wires and then the other and both i think to se the difference and its the same. Just have to remove one of them. I think its the same wire that comes out and goes in so dossent matter where the wire is disconnected.
I use a small screwdriver to remove the cable from the connector instead of cutting it. That way you can always put it in again later.
The extra wire i have on my kymco super 8 connecter (the one that is empty on your kymco city) is for the light control box.
Because the front light on Kymco Super 8 has 2 bulbs i guess something thought it was a good idea to make a special box to control the front light.
The CDI sends a signal to the light control box to make it turn on the front lights but i have had alot of trouble with that and that was actualy why i bought a new CDI box because the signal was not made so i had no front light.
Anyways you might want to derestrict the variator also.
I read one place that its not so good to drive with derestriced cdi and restricted variator because it will make the engine run at high RPM at least if you full throttle it all the time.
I dont know if it is restricted on your model but i think it is on most models.
On my scooter i needed to buy a new smooth bush in order to remove the restiction. On some scooter you just need to remove a ring so you dont need to buy anything on those.
http://scootergrisen.dk/scooterhjemmeside/begrensninger.php#variatorDifferent ways to remove the nut.
http://scootergrisen.dk/scooterhjemmeside/transmission.php#fjern_motrikken_ved_de_forreste_remskiver