The world produces enough food to feed the entire population multiple times over and yet millions still die of famine, I say yes, it does indeed cause their deaths.
It is not the only cause of their deaths but it is a significant contributing factor. It is also just one example out of thousands. Look at vitamin hucksters trying to sell vitamin A to "cure" measles only to maim and kill others from liver failure after consuming too much vitamin A. The same crap happened during covid with Ivermectin which is a fantastic product for killing parasites, but in no way does it kill a virus.
IBM killed many employees by protecting the chips they manufactured from dust and other contaminants while not protecting the bunny suit wearer from the extremely poisonous chemicals in-use.
Erin Brockovic became famous for similar reasons and the examples go on and on and on.
Unfettered capitalism will only care about capital, it will externalize everything it can in that pursuit. Look at Boeing, once the pinnacle of engineering prowess. Late stage capitalism kicked in, management only cared about capital and profit growth, safety and quality suffered. Story as old as time, hucksters have existed for hundreds of thousands of years as you so kindly pointed out. In those times famine largely had other causes, it is entirely optional today however, capitalism keeps it going and will continue to lead to more deaths unless we can provide some safety rails.
That is the main problem today, we used to do trust busting and actually regulate industry, now we have companies too big to fail.