We justify everything we do.
But say for farmed cows, living in a field for a while, that's better than not existing at all. You cannot judge if it's worth it from the cow's perspective, it got to live, enjoy the sun, eating in the field, doing cow stuff, same as us. Even with the hardships in my life I'd rather have existed, for however long I can, than not existing at all.
So you see it's not as simple to look at and judge farming. If it was for you those animals wouldn't even have experienced this reality. It some cases you may be right, depending on their conditions obviously.
Conversely, farmed animals owe their existence as you say to our cultivating them. But where you see a moral release in that connection, I see a corruption of life into industrial inputs. A hunted animal many times will catch scent or sound and take flight, winning their life for another day. Livestock can't change their destiny by wit or will. Their entire existence is within the technological apparatus of our species.
The corruption becomes evident in evolution cleaved from the organism's interest and placed in service of our appetites. In turkeys with breasts too large to be able to balance standing up, let alone walk. Such animals can only reproduce by artificial insemination and only eat when food is placed directly in front of them.
Power dynamics such as these tempt us to tell just-so stories about lives well lived. Can we say for them that their lives are preferable to not existing at all? We're surely not neutral.
I personally wouldn't eat meat if I had a good alternative. I rarely do, I eat it for health related reasons, considering my setup.