At first glance, this seems like a solid argument. However, there are plenty of positive rights that we agree on. The right to an education is a positive right

At first glance, this seems like a solid argument. However, there are plenty of positive rights that we agree on. The right to an education is a positive right (while we disagree over this after high school, I don't think anyone is saying children don't deserve this). How about the right to personal safety? Sometimes it's negative, but it can be positive when dealing with negligence. Overall, I agree on the surface with your positive/negative distinction but I'm not sure the world works this way in practice.