I think it's the other way around. The memes are incredibly good at left vs right because left- and right-leaning people presume underlying facts and the memes reassure people that those facts are true and good (or false and bad, etc.) without doing any fact-finding.
When we say "the right can't meme" what we mean is that the right's memes are about projecting bigotry. It's like saying that the right has no comedians; of course they have people that stand up in front of an audience and emit words according to memes, tropes, and narremes, such that the audience laughs. Indeed, stand-up was invented by Frank Fay, an open fascist. (His Behind the Bastards episodes are quite interesting.) What we're saying is that the stand-up routine is bigoted. If this seems unrelated, please consider: the Haitians-eating-pets joke is part of a stand-up routine that a clown tells in order to get his circus elected.