There is no difference between the non-ring chan and the ring chain, except for the rings that hold in lube and keep out contaminant from the pin/bushing area. So, there should be no reliability issue between the construction of the two types of chains.
If either type chain "blows" out, it will be due to the chain having been worn past limits, and/or bad maintenance and adjustment. Unless of course a foriegn object breaks it.
The reason a ring chain will kink is usually due to links having rings that are torn or violated in some way that allows water and contaminant to enter the pin/bushing area. When it enters it can cause oxidation of the metal and seizing up that link. Even one bad link in a ring chain can cause an early death of both chain and sprockets.
A non-ring chain is every bit as reliable as a ring chain if proper care is given.
BB007, your chain is probably toast if it is kinking. I would suggest that you change it out before it eats your sprockets. Also, you want to be sure and not lube your chain with a tacky type lube that will attract sand and grit that can ruin your chain.