In this case, I concur that your argument may be true if you include animals in your utility calculations.

While I do have reservations against causing suffering in humans, I don't explicitly include animals in my utility calculations, and while I don't support causing suffering for the sake of suffering, I don't have any ethical qualms against products made with animal fur, animal testing or factory farming, so that in regards to pigs, cows and chickens, I am an utility monster.