You already quessed the answer when you said, "If". Its true that SG is usually given at a reference temperature, because SGs vary with temp, but here Temp isn't referenced because SpHeat can indeed be correlated to density or SG which are "bulk properties" that Chevron mentions. (good website that one). So my SG is any temperature at which you have measured (or know) the SG of the fluid. In other words, the temp ref is implicit.
You are also probably correct approximating the Cp by using the midpoint values of the tabulated chains, but I usually don't know what chemicals are in any given hydrocarbon I'm pumping. I usually only get a SG at 60F and have to convert that to actual SG at flowing pressure and temperature to get a mass rate, so I prefer to correlate to SG at any temp.
As for visco's comments, I don't know of any attempt to segrate one jet fuel from another when being received into storage. Gasoline, kerosene and diesel, yes, but not between light and heavy kerosene. Its all kerosene. You can download your Chevron material data sheets for Aviation Turbine Fuel and JP-8 from this page,
These pages show there is essentially no density difference between Aviation Turbine Fuel and JP-8 or kerosene, which is what we actually batch (usually) between diesel batches.
For av turbine fuel,
you see that they give a Density: 0.75 - 0.84 g/ml @ 15°C (59°F)
Open JP-8 and they give a Density: 0.755 - 0.84 g/ml @ 15 ºC
From a pipeline perspective, as well as what Chevron calls "Kerosene" in this MHS, can basically be anything between (our) endpoint gasoline cut + interface + beginning kero cut, and ending kero cut, interface and beginning point diesel cut between continuous serial directly interfaced batch loadings into the pipeline of all three. We distinguish batch changes by densitometer signals, not viscosity, and direct various products to either gas, jet or diesel (or interface) tanks. What we can't distinguish is cut out entirely and put in an interface tank, wich is later reblended back into the diesel, maintaining ppm limits. My understanding is that, after "kerosene" gets to the aviation terminal, they turn it into Jet A-1 or JP-8 by basically running which is really nothing more than some QA/QC tests a run through some filters, maybe adding anti-static, deicer and whatever else they need to do with it before they can call it JP or A-1.