You are correct. The reason is that neither has any compassion, to this very day.
OTOH, either system could be structured to be based upon compassion, if the people in charge made the choice to do so. Any human system could be altered to incorporate compassion into its motivations and mechanisms.
I'm a fan of fettered capitalism with socially-conscious citizens, but that requires the wealthy, middle class, and poor to be compassionate. What is important is to internalize the currently external costs corporations impose upon the environment and populace to make their profit.
For now, it's 'by the wealthy for the wealthy', no matter which system is dominant, no matter which religion is in power, no matter which ethnicity to ruling class represents. That is because compassion is sorely lacking in this world's peoples, especially its rulers.