Looking at the numbers you should maybe include Chinas Coal Industry in there, since it is responsible for about 25 % of global emissions alone, according to the up to date report.
And the people at Gazprom also deserve a prominent spot in that line.
That is sensible, yes.
I regards to the graph you posted, it shows how emissions from private comps is have fallen and emissions from nations and nation owned companies have rissen. I think this is a relevant distinction to make, because the meme and the report as they are show a one sided picture (capitalism is the sole drive of climate change) whilst, looking at the complete data, a more nuanced picture emerges (like the role of nations in upholding the capitals system).