I don't know how vote counting is done in other places, but I've seen it in my country and it's not vulnerable to basic sleight of hand, at least not for more than one or two votes. Poll workers are all citizens randomly selected, the president of each table takes envelopes from a transparent box, opens them, shows them to the other three or four workers of the table (plus any observers that want to be there) and declares the content of the vote.

> But I do think that electronic voting could make voting easier and more accessible.

I don't think so. Think of all the people who have difficulty with basic computer/phone tasks, either because of knowledge or accessibility issues. Do you think all the steps to securely cast votes with an electronic system are going to be easier and more accessible for them?