Just wanted to share my experience.
Mar. 1st - Purchased IPad Mini Retina Celluar
Mar. 7th - Arrived at my house
Mar. 19th - Tip of the lightning cable connector broke off, and was wedged in the Ipad
Mar. 20th - Apple agreed to replace it for $40 because it was covered in Applecare Plus
Lightning cable I was using was the one that came with the Ipad.
I was told that had I not been enrolled in Applecare Plus, getting it replaced would have cost me $300.
I own many gagets, and I will say that I was very gentle when I inserted the cable into the Ipad. It did, however slide in at an odd angle. When I let go, I could see that the cable was attached at a weird angle. When I pulled on the cable to get it out and see what the problem was, the end terminal snapped off and was left in the Ipad.
It looked exactly like pictures posted.
I asked the Apple rep if this type of problem occured frequently, and her initial answer was "not with Apple brand lightning cable". When I asked, she told me that this was a frequent problem with people using non Apple brand cables.
I think it's terrible that there is no easy way around this problem, not only because it seems like it could be countermeasured rather easily with some simple design changes, but it renders a perfectly good IPad useless, and it's also a very big stress on the owner. I stayed up all night last night researching this problem.
Takeaway here:
1) It's a known problem with no easy fix. You're on your own, people have had success getting out the broken bit but it involves superglue
2) For prevention, use Apple Brand lightning cable
3) When you first buy IPad, make sure you are enrolled in APPLE CARE PLUS. It's worth it.