It simply invalidates the experiment. There isn't anything correct about the experiment, and it seems to indicate the heat capacity of the gas rather than radiative forcing.
How can anyone in there right mind claim it is valid without accounting for the other factors?
But heat capacity alone can't account for the different increase in temperatures (assuming the YouTube thermometer snapshots are actually representative). Admittedly I was wrong in post #45 and your correction in #50 was more accurate:
#50
Since we are operating under normal stable atmospheric pressure, Cp, or isobar would be correct I think. If we look for ratios regarding the mass of volume, we need to divide the atomic mass into the specific heat.
Air = 1.01/29 = 0.0348
Argon = 0.52/40 = 0.013
CO2 = 0.844/44 = 0.0192
Going with your numbers, with equal energy into the jars we'd expect the CO2 temperature to increase by 1.8125 times the amount of the air jar; in fact we'd expect it to increase by a bit less than that, since the lid was open a bit for the CO2 hose and it'd lose some heat from convection. What the video's thermometers actually showed was an increase in the CO2 temperature by
2.176 times the the amount of the air jar (1.48C vs 0.68C).
I think we should actually be using the isochore figures though, since the experiment with the lids involves constant
volume rather than constant pressure, which means we'd expect an
even smaller (1.66) CO2 temperature increase over air.
Air = 0.718/29 = 0.02476
CO2 = 0.655/44 = 0.01489
So it seems heat capacity only explains about three-quarters of the difference in temperature increase: Since convection (the concern of the OP's paper) is also ruled out by the closed-lid experiment, and the same containers (whether IR-reflective or not) wouldn't produce the different results, there'd have to be something else accounting for it. CO2 near-IR absorption is the obvious and only likely explanation that I can see.
Edit: Actually with the lid ajar for the CO2 hose, perhaps it should be isochore for the air jar and isobar for the CO2 jar? If so, heat capacity explains
even less of the temperature increase; c. 1.29 ratio expected, barely more than half the observed ratio. (Though again, this assumes that the YouTube thermometer snapshots are representative.)