I have both and use both. I have never burned anything buy white gas in mine. I had a buddy try using kerosene in his and it made a helluva mess. The DragonFly has the advantage of being more adjustable. FWIW you can simmer with the Whisperlite you just have to reduce the pressure on the fuel canister. I typically carry my fuel bottle in the water bottle rack mounted on the underside of my down tube or in an outside pocket on my pannier. If it leaks (which they never have) it is no big deal.
Aaron