To me the biggest advantage to the cone is using your stove in windy conditions. Last year I took my Snow Peak Giga stove and a kep cone set-up to do some comparison testing… just for my own knowledge, not to post any kind of a report.
I had a lot of wind on that trip. Struggled contantly with the SP, with and without their heavy 2 oz wind screen. Even tried using my sleeping pad to block the wind. The cone worked beautifully. To be honest I like the convenience, boiling time, and adjustability of the SP better. Deserts tend to get windy in the afternoons, and I now always bring my cone. For mountian hiking, I switch back and forth. There are some disadvantages to each. In a way, I don't like the cone for various reasons, but it is the stove I use the most.

