Science is sometimes just interesting, and our current understanding of the science overwhelmingly points towards anthropogenic greenhouse emissions being responsible for a quantifiable and observable degree of warming. Yes, the figures turn out to be much smaller than the dust gain and hydrogen/helium loss. But it's still an interesting calculation to perform, regardless of whether armchair physicists scream conspiracy or "green religion" nonsense.
If you do want to do the calculation, the chemical energy loss isn't the figure you should be using. It's already well understood that the direct heat output from burning fossil fuels is a very small proportion of the heat budget. It's the difference between the solar energy input and radiative energy output that you need to use - the radiative forcing as it is known.
That's about 1.6 W/m^2 right now. Times the surface area of the earth, that's about 8.2E14 W. Over a year, that's 2.6E22 J. Divided by c^2, that's about 290 tonnes. I'm not exactly what figures were used (whether different estimates of the forcing were used, which contributions to the forcing were counted as "global warming", whether variables such as El Nino, La Nina and solar variations were taken into account, and over what timescale), so there may be something I did differently. But yes, the calculation does give tons.
That you think a team of Cambridge University physicists didn't "try [math] sometime" because your arm-waving armchair explanation disagrees with their calculation is truly an example of the Dunning-Kruger effect. Your post is indeed insightful. It sheds insight as to why climate change denial is so widespread here on slashdot.