The Apple cables appear to be designed to safely melt without starting a fire in cases where the internal insulation breaks down in case of crushing, slicing, piercing (kittens are even worse than cats in this regard) or simply worn out due to repetitive bending in the same spot.
I've seen people decide to use cords when lightly damaged - sealing the cable with electrical tape. Since the voltage is low on the MagSafe side of the cord, this is more a heat/fire risk than a shock risk. The MagSafe board on the Mac usually protects your hardware from any sort of short - and it also is replaceable if it's fusing blows.
I have on rare occasion seen some nice third party adapters that work with MagSafe connections - but none yet on MagSafe 2. I have seen far, far more dangerous adapters than safe ones.
The worst part of counterfeit adapters is that they typically carry the same "safety" markings as a quality electronics adapter. HavingAlso, some have high quality plastics and similar weight so you may have to be very observant to tell a short on the transformer side of things isgood knockoff from a very much larger fire and shock hazardgenuine part. Unless you are using the adapter in an environment where a small fire could reasonably be contained without undue risk to finances or life, you might avoid using a third party adapter if you are not skilled at evaluating electronics for build quality.
The article above explains how the Apple charger is engineered with a processor in the MagSafe connector and a main processor that's equivalent to the original Macintosh - you're getting a computer inside every Apple charger as well as dense and highly safe design shown on the left and a knockoff design on the right.
I've been well served by buying Apple adapters in terms of reliability and safety, despite the higher cost. I know many that have had good luck with quality third party adapters, but wanted to explain the why and how it could be dangerous since some third party adapters are dangerous to use and not even close to equivalent to Apple's product.