The short answer is that they are different, but they are related. The failure force for a crack from an edge is related to sqrt(G.E). Brittle materials like glass have a low G value but a high E value. Failure by bending is much less reliant on G, much more reliant on E.
Basically Corning are claiming that their glass is stronger (has a higher value of E) which is probably true, and that it also has a higher value of G, which is also probably true. The thing is that sqrt(G.E) is still so low that their glass cannot withstand cracks from side impact very well - GG3 probably does it better than sapphire but that's not saying a lot, it still does an inadequate job. Its very difficult to make any glass which doesn't fracture, which is why it is down to the design of the product and not the material to minimise this problem.
----------
Not even close. For some perspective: if you had a sapphire screen on your phone and you took a hardened steels tool to it, the screen would scratch the tool. The only way to scratch sapphire is with precious gems. If you carry a lot of those in your pocket then I am afraid to say that maybe the iPhone 6/7 isn't for you.