For sure. That's why I'd prefer not to make an obvious blunder out the gate. The point of these kinds of memes (as agitation) is to create an opening to talk about these things. Whatever you say will have more of an impact if the first response isn't some nitpicking asshole with an actual valid argument.
The nitpicking asshole will be present no matter what, but if they look reasonable, then your job will be that much harder.

edit: to expand on my point and to build off what @UmbraVivi@hexbear.net wrote: Propaganda for the masses through memes function in two ways in my mind - They create public discussions, where you're not arguing with any specific person, but rather proselytising to the reading audience. In that case you will get further if the other person does not appear as reasonable, which they will if they point out the meme is blatantly false (even if the actual argument the meme presents is completely valid.)
The other case is sort of like advertising, where the meme itself isn't super important, it's just there to build up a sort of brand identity of thoughts. In that case it's also not a good idea to present something that can be easily dismissed the first time the hypothetical thinker tries talking politics with someone who has read a little bit about stuff (China sucking ass with the sino-soviet split isn't the biggest of secrets, there's a good deal of chuds that know of it too. All ideologies have low-effort dunks).
If that's the case they'll either realise they're mistaken or they'll get mad, neither of which fosters anything productive.

This is not to say you have to "high-road" it or be completely correct or write a massive dissertation - None of that is necessary (or for the latter conductive) for good agitprop. I'm just saying making an obviously incorrect statement an integral part of your propaganda isn't a good idea.