I think we have fundamentally different outlooks on animal agriculture. It seems like your position may be based on the idea that animals used for milk and eggs are treated well, live long natural lives and are killed at the end of their lives when they would have died naturally.

I wish this were the case.

Animals used for milk and egg production live a small percentage of their potential lifespan. The effects on dairy cows of repeatedly being impregnated, giving birth, producing enormous quantities of milk, and going through the cycle again takes a harsh toll on their bodies. It's normal for a dairy cow to only endure 4 or 5 cycles of this before they literally cannot physically continue, at which point they're no longer profitable and are sold for slaughter. Similarly for egg-laying hens, the stress and mineral demand of ovulating multiple times a day means that they rarely live past two years. For the males of these breeds, it's even worse. Male chickens of the egg-laying breeds are mostly useless to the industry, so they are killed immediately after hatching, usually by way of an industrial macerator or gas chamber. Male calves might live to 8 months to be slaughtered for veal, but if there's no market for veal they are frequently killed immediately after birth.

Modern egg laying chickens and dairy cows are man-made breeds far removed from their natural wild counterparts. Hens trace their lineage to red jungle fowls, who naturally will have a single clutch of roughly 12 eggs once a year. Selective breeding has increased this amount to once a day, sometimes even more. The extreme pressure on their reproductive system frequently causes health issues like egg yolk peritonitis, cloacal prolapse, and osteoporosis. Similarly with modern dairy cows, bovine mastitis, udder sores and infections are common due to our selective breeding to maximize milk yields. Even otherwise healthy animals face grueling lives because they're part of a species that was selectively engineered for one purpose: profit.

Modern animal agriculture is overwhelmingly inhumane, which is why livestock animals are almost always excluded from animal abuse legislation. Ignoring the above points about how they've been selectively bred and are worked to exhaustion, investigations into egg and dairy farms have found absolutely shocking treatment. If you have the stomach for it, they're worth watching to understand the scope of animal abuse that is commonplace in our society.