The magazine is named after a 1938 book "The Black Jacobins" about the Haitian revolution started by slaves and which occurred partially because of the French revolution. The revolution was successful with slavery (mostly) ending and Haiti becoming a state.

The book claims the revolutionaries (The black versions of the Jacobins) in Haiti were more true to the ideals of the French revolution than those in France because human rights extended to all in the former.

So since the magazine isn't named after the Jacobins in France your criticism makes no sense.

If true, it makes the magazine come out even worse. The Haitian Revolution was followed within a year by the massacre of most of the European population, a few selected demographics aside.[0] This was already well known down the long decades to that 1938 book and today. So, the mag closed its eyes to a reign of terror no better than the 1789 French revolution.

As for the controversy of Jacobin ideologically, the magazine typically takes a Marxist standpoint, but not all leftist schools of thought are Marxist.

[0] https://en.wikipedia.org/wiki/1804_Haitian_massacre

While I agree that technically correct is best correct, if someone created a magazine called Nazi and their defence was, “it’s not named after the original Nazis, but rather a group inspired by them”, how would that differ in structure from this explanation?