the GLF was economic policy made in response to withdrawal of soviet technological and financial aid during the sino-soviet split, one of the primary motivating factors of which being soviet insistence on china essentially allowing the soviets to recolonize the port of dalian to build a naval base from which to deploy its pacific fleet.

on top of being under sanctions from the west, the sino-soviet split further deprived china of markets with which to support its all-important capital intensive industries and so china was forced to resort to agricultural export as a method of making up the shortfall. collectivization was also pursued simultaneously to pool domestic capital for internal consumption, but due to various geographical, technical and political considerations, internal consumption was not sufficiently stimulated to support manufacturing, and so agricultural export became the primary way to finance china's continued industrialization. most accounts that are not hysterically anti-communist (including liberal darling amartya sen) of the period around the 1958 famine have records of aggregate production being more than sufficient to sustain the overall population, with the primary points of failure being overzealous local governments in highly productive areas, as opposed to popular western conceptions of overbearing central government mandated directives.

all this to say that hitler and the holocaust's relevance as a point of comparison to mao and the GLF as anything beyond 'people died when he was in charge' is laughably superficial and mostly only functions as a thought terminating associative fallacy for juicing your dopamine receptors in order to immunize your brain against more correct opinions.