Hi,
I have a possible fix for this. I've had my F82 for a few years now, it's a 2014/15MY?. Tried getting the BMW LapTimer App working on my wife's iPhone when I first got the car, but came across this issue, so I gave up and kept using my Android phone via Bluetooth. I've got a spare, hand me down iPhone SE now, so when I heard the BMW LapTimer App had been updated to support the GoPro Camera, I thought I'd have another try. I goolagd, found this thread, and eventually got this working for me. Total cost was around £14 ($20US).
If you want to try, you will need:
1. Apple compatible USB Data Sync Cable (I used a short, generic 4" one from eBay)
2. A Dual Power Charge, Y Adapter Cable (USB Male to USB Male and Female)
3. USB Power Bank (I used a smallish Maxell 2800mAh)
That is all you will need if like me, you only plan you use the iPhone in your car infrequently, and charge the Power Bank separately (e.g. data logging on track days).
I've attached some details of the items I sourced from eBay.
Hope this helps someone else.