This is wrong, the majority of humans may think that way because they don't have to kill any animal personally, they are disconnected from the "killing" part of the whole equation. Let's see how many people eat and kill animals (i.e. hunting) once we remove meat factories.
Another counterargument is: pets. Somehow all meat eaters gasp on the idea of eating their pet, so they are not morally okay to eat an animal (as you claimed).
> Or is less suffering better?
Ask yourself, how would you like to die? After listening to music you love? getting massages? OR being hurled up a thousand other humans in a small room? The fact is you are dying, your neck will be cut off, and it doesn't matter what you did before it, how is listening to peaceful music before dying less of a suffering?
It is like saying that concentration camps should have been more "humane", they should have cared more for prisoners before killing them to reduce their suffering. Death matters the most for any living creature, all of us (humans + animals) are primed to avoid it. So, we need to take a path where we are reducing overall deaths, not a path where we are reducing pre-death suffering.
What you can say is, "I don't care about suffering; I just need meat." That would be a more logically correct statement than claiming that you care about reducing their suffering.