USSR (well within living memory!) generally preferred to starve its slaves. Prisoners-of-war released back to Russia after WWII were sent to the GULags as deserters -- because how did they survive, without collaborating?
One of Socrates's rants on record is deriding an argument that negligence causing your slave to die should be a crime.
Though you are correct, there have been various concerns for the welfare of the slaves over history, and cost of getting more is a major factor into that.