Is Cheese Vegetarian?
That 'in a sense', Jamie, is the kind of sense that would also stop people from eating ethically, because at a sufficiently wide angle, nothing is unconnected to slaughter. All distinctions collapse. Vegetarians can't escape the cycle of slaughter. Vegans can't easily escape the massacres wreaked by farm equipment upon small creatures in fields. If you quibble about whether vegetarianism should extend to not eating things in a production model that allows other people to eat meat, then you might as well just order up the grain-fed, cow-crate steaks and be done with it.
(I'm reminded of the Jain monks whose vow not to take life leads to them starving themselves.)
I haven't consciously, deliberately eaten meat in a decade. I've no doubt unconsciously consumed animal products, especially in recent years, since the US is far behind Europe in taking animal fat and other stuff out of products you'd otherwise expect to be fine. And purity is a lofty goal: should I refuse the slice of birthday cake at my young relatives' parties because the eggs used to make it are from battery hens?
You just do the best you can in your own choices, and you trust that small-scale farmers handle the meat side of their agriculture with the conscientiousness of their other work. Because livestock farming is the exploitation (in a neutral sense) of animals' life and death, and that's just how it has been since the ancient hunter-gatherers had a few ideas to make their lives easier.

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