I have the kit in your link which was fitted in the car when I got it and as the pic shows I have a Lightning adapter on it for my iPhone 6 but it didn't charge my partners old iPhone 4 either which I think has something to do with a power adapter of some kind. Here's my leads
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2014 Skoda Octavia vRS with loads of toys!
ex 2012 V50 1.6D DRIVe SE Lux, 2008 XC70 D5 AWD SE Geartronic, 2004 S40 2.0D SE, 2008 C30 1.6 S & 2000 C70 2.0T