"A little yes", as my old boss used to say.
The difference in energy density between a straight-run diesel fraction and a straight-run kerosene or gasoline is on the order of 1%, depending on feedstock.
The reason commercial gasoline is usually much less than diesel is because there are competing uses in the chemical industry for many of the high-energy compounds that used to just go into gasoline and be burned - benezene, toluene, xylene among many others. Heavy fractions like diesel don't have competing uses at present, so the good stuff is left in.
Waste-derived fuels have the opposite problem - the feedstock contains so much oxygen already that the energy density is typically half that of diesel if you're lucky. There are ways to upgrade it, but they have losses of their own.
This feels disloyal to my old boss, and YMMV, but the best place for plastic waste is in landfill.
- Its an avenue for carbon sequestration.
- Can be reasonably expected to stay there out of the atmosphere and biosphere for millions to hundreds of millions of years.
- Big holes in the ground are usually free, and liners and capping is orders of magnitude cheaper than the USD$120/tonne that BlackRock gets paid to pump CO2 into old natgas wells.
- PVC is a minor but still common component of mixed plastic waste, and breaks down to form dioxins in any thermal process. Yes the exhaust stream can be treated, but that sends the cost in capital, materials and energy so high the whole process becomes net negative.
- Landfilled plastics are adequate "strategic petroleum reserves" in an emergency for countries with historically irresponsible governments and little domestic fossil fuel production (Australia).