> The separate question, of why people are obsessed with it - implicitly in the United States - is a separate question.

It’s not a United States issue. Look how Taiwan does vote counting: https://youtu.be/DUZa7qIGAdo. They don’t do it this way because of anything distinctive about American politics. Being self-evidently difficult to manipulate, without requiring voters to trust an opaque system, is an intrinsic benefit for voting systems.