Most people are going to take the term "Hydrocarbon emissions" to mean C02 emissions, even though it's referring to a different thing.
The image, and the claim within it, is actively deceptive because it's not true.
You're right that there isn't orders of magnitude more CO2 from a two stroke, but there are orders magnitude more CO, as well as these literal "emitted hydrocarbons", which I think it what the direct claim the art intends to illustrate with either dinfinition. But the fact we're having this conversation is evidence the claim at the very least isn't clear.
(Disclaimer: I've never met or interacted with Nicole, but I know people that have, so I'm likely biased to assume good intent.)
Now consider the time spent doing these activities - 30 minutes compared to 47 hours (according to Google), so multiply all those per minute figures for the truck by 100 to make a fair comparison. Now, the blower is triple the "NMHC", 2% of the NOx, 25% (EDIT: I made a mistake before) of the CO and about 0.2% of the CO2 (100 gallons vs 0.2L).
Honestly, I don't know what "NMHC" includes - as presumably it doesn't include NOx as that is called out separately, but whatever, it's just part of the emissions and so the claim that the image makes of "fewer hydrocarbon emissions" is clearly false. I'll agree that it seems to be a bad summary of the article which was "the emissions are dirtier".
EDIT: Actually, I should add that the image has done a good of raising awareness that leaf blowers are clearly pretty dirty even despite not using much fuel, so I guess it served its purpose even if after looking at the sources, I'm still not really sure by how much in actual terms, because the things I know to look out for - CO and NOx - aren't as bad as claimed, only NMHC, something I've never heard of before, and I've no idea how bad that is.
Actually, the counterintuitive truth is that two-stroke engines produce ~300-500x more PM/hydrocarbon emissions from the same amount of fuel use than a four-stroke engine, due to the fundamental nature of incomplete combustion and the oil-fuel mixture used in two stroke engines, and the efficacy of emissions controls on modern cars vs common leaf blowers. Your calculations are correct, it's just this difference is so big it seems crazy when you first learn about it. (Which is what Nicole's art is trying to communicate!) This is cited in the NYT article from the tweet you link: https://www.edmunds.com/about/press/leaf-blowers-emissions-d... , although for a more scientific source you can see https://publications.jrc.ec.europa.eu/repository/bitstream/J... .
While technically, carbureted two-stroke engines can sometimes produce less NOx than four-stroke fuel-injected counterparts for equivalent fuel use, incomplete combustion means leaf-blowers and the like have a massively outsized impact on air quality, especially for the operator. The good news is that electric systems are now cheap and lightweight enough for most applications, which is fantastic.