I wouldn't hesitate to use household vegetable oil in any of my nine diesel engines (Cummins, Case, Mercedes Benz, Ford, International, JD) including the newest which is a Kubota. I suspect vegetable oil may contain more sulfur than the clean diesel the EPA is pushing which would add lubricity and possible increase injection pump life for those pumps that are self lubricated. I ought to add that all of the nine engines are mechanically controlled compared to the newer electronic engines. I don't know if there's something pecular to electronic engines that might create a problem.
FWIW, the 6.9 IH/Ford diesels are indirect injection engines and vegetable oil works fine. Cold weather use is an obvious no-no unless you have a way of heating the oil. I wouldn't worry about whether it is mixed or not. Sooner or later it will get pumped into the engine if you use it during the summer.
As far as energy content, gasoline has a lower BTU content than diesel. That's one of the reasons heavy vehicles use diesel engines. Diesel which is usually cheaper than gasoline and contains more BTUs is a better energy source. Throw in the longer life of diesel engines as compared to gasoline engines and it's a no-brainer.