I might be able to help out with that question. In a pure form the lubricity of diesel is not bad until you get to higher temps and then the film barrier can break down and that very tight tolerance that you need (2-4mic) becomes a friction point and thus wears parts out.
[Quick point about sulfonated diesel... It is good for maintaining that lubricity boundary in lower injection pressures (sub 25Kpsi), but in high pressure applications the molecular structure changes and it becomes a scrubbing agent, hence one of the reasons they have removed sulfur from diesel (other than environmental reasons)]
Diesel being and oil itself and adding oil to it can potentially increase its tolerance to film strength break down AND also provide extra power provided the molecule chains are equal to or larger than the diesel fuel itself. (short chain vs long chain molecule structure is like gas to diesel... one has more power)
To the point of adding heat to the fuel to make it burn better. If you increase the over all temperature of the fuel it flows better and has slightly more potential energy that cold diesel. The "thinner" diesel in theory should be able to flow slightly more volume though a fixed orifice over a period of time (injection time though injector tip holes), but it comes up to a point where you can only put so much volume through a hole in a fixed time no matter how thin it is. There will be a formula for calculating the maximum temp for the most amount of fuel to give the best result, but i honestly don't know it at the moment.
With all that technical garbin out of the way I can say this. If you find an oil that has more energy content per ml that standard diesel, and you can get it thin enough to act as diesel in its properties through an injection system, there is nothing saying you can't run that and get more fuel energy in the cylinder to burn.
This is simply explained in todays terms with UFA in Canada. They used to make a "farmer grade" fuel that offered 25% more power than standard diesel (according to adverts). Farmers would run it and notice more power, and more black smoke out the exhaust. Reason being the fuel was heavier chain molecules than standard diesel and thus had more energy per ml. The inverse is true with winter grade diesel up here in Canada. The lighter chain molecules have less wax in it and still flows at the -30C temps where standard diesel will gell up.