The "Holodomor" is a name used to refer to the '32-'33 famine that was coined as part of a revived campaign to paint it as a genocide, but I've definitely also seen some people use it as a way of just referring to the famine with fewer syllables, but the way that they are talking about it doesn't make any sense either in terms of how collectivization relates to the famine or what a kulak is (the description they give is of a poorer strata of peasants, kulaks had enough land to have other people work it).

Incidentally, the kulaks were overwhelmingly not the people who died during the famine (let alone from the famine), it was peasants with no or very little land who were dying, because the reason for the urgency of the collectivization wasn't that kulaks simply owned the land (which was still seen as a problem) but the fact that they were hoarding grain to profit from the famine, hence collectivizing their property to distribute resources to the people who were starving.

Lastly regarding the history, I'm pretty sure part of the reason Goebbels did this genocide lie to start with is because it was rhetorically useful for Ukrainian fascists of the time like the OUN-B, so it's not just Neo-Nazis.

Also, "socialism is individual workers owning the means of production that they personally use" is the most pathetic distortion of Marxism. What you're describing is fucking yeomanism! You know, like the ideology of Thomas Jefferson (not that he would ever condescend to being a yeoman himself). Even the usual bastardization of the meaning is at least talking about cooperatives, but anyone who bothers to actually read Marx understands that it's not cooperatives but the proletariat as a class having control of the entire means of production, because a central part of the point is to eliminate the "anarchy of production" by coordinating the labor and use of resources across society.

Never mind the distorted view of history, I hate these fuckers for being such ridiculous snobs about "refuting" Marxists when they don't have enough correct knowledge of Marxist theory to fill a single page, double-spaced. It's the epitome of how liberals like to perform shower arguments to each other instead of actually present their arguments to someone with any interest in saying something other than "so true, bestie."