I'll bite: the energy density of sunlight on average is something like 1.4 kW/m^2
If you put down a square meter of solar panel, weigh it and run it for an hour to get an equivalent wh/kg and compare to almost any other energy source (except maybe wind?) you will find it to be complete garbage.
The only thing solar has going for it is it's free, basically no waste products and you can find it literally anywhere on the surface of the earth.
The energy density of sunlight itself is energy available per kg of mass-energy. That mass-energy can be totally converted to usable energy, unlike nuclear reactions or chemical fuels.
Of course, what this shows is that energy density, as was being used, is a silly metric. By that I mean that it's useful for d--- measuring contests, but not for making any actual decision about what technology to choose.
It seems you've written c² in units of Wh/kg? But the fact that per arbitrary mass, you can theoretically get more energetic reactions than by fission or even fusion doesn't mean comparing the productivity of fission to oil is silly. The issue is realistic ways of efficiently liberating and harnessing energy from matter.
One better than fusion not impossible option is carefully feeding small black holes and extracting their huge output of energy. The feedstock for the black hole might even be lifted from the sun. In the meantime, fission is a productive and practical option to add to the energy mix that will more than serve until we've worked out fusion.
One place I think I agree with you is that phrasing it as energy density, rather than focusing on efficiency of a given unit of mass or fuel at yielding energy can be a bit obscuring. That is, it's better to focus on sustainability of fuel source. Energy density (J/m^3 and J/kg, specific energy) are units more appropriate for talking about energy storage and bombs.
You're comparing the wrong things. Those weights are of energy stored, but with light it is in motion. Maybe if you manage to get some light stuck in a crystal we can have a meaningful comparison.
Of course, energy density is a silly metric.