Not quite. Most rural families in developing countries live on their farm animals. The raise their own chickens and pigs. It gives them income and a food source. And many use them to sell to the bigger towns for a decent capital. Are you that indifferent to rural life? If by poor you mean those that barely have enough to eat. They consist of a small % of the population and don't affect consumption.

Agree that developed countries should cut down. 1-2kg/week per person in the US and Germany is not good for long term health. Even if going vegan is too much they should try to steadily reduce.

This will cause the meat market to slow down gradually rather than just collapse into chaos