Corporations (legal but not natural persons) have historically caused less deaths than states (sovereign entities with a monopoly on the legitimate use of violence.) In this meaning states too are corporations just a special type.

Joint stock corporations without a defined end of life are an innovation dating from approximately 1500. I contend that on a net, and probably a gross accounting of lives lost due to action by states have consistently outnumbered those due to corporations.

Given that states have a monopoly on violence it is a trivial consequence that their actions will cause more deaths than corporate actions. Sovereign actors typically exceed non-sovereign ones in capability for violence. Even where this is not true the corporation is constrained by the will of it's sponsor state, and as such ultimate responsibility lies with the state sponsor of the corporation.

Given that we have no examples of sovereign corporations (sub-type, profit maximising) little information is contained in my original snarky comment. I contend, in agreement with the Emperor of the Rightwing Wingnutosphere Mencius Moldbug, that a sovereign entity with a clear goal of profit seeking will be less murderous than one without a clearly defined and measurable goal (all of them, barring the Holy See, which aims to convert all humanity to Roman Catholicism.)

tl:dr Given the vast differences in capabilty between sovereign and non-sovereign corporations the difference in their headcounts is a trivial consequence. Conceded.