Voting is anonymous to make it harder for someone to demand proof that you voted in accordance with their wishes.

I wouldn't want my employer, for instance, to be able to verify that I voted for their preferred candidate for state representative and take retaliatory actions against me if I didn't.

I don't speak of general voting, like for President.

I mean voting for various petitions, etc, the stuff outlined in the article.

Better fraud protection during general elections would be great, too, but it's a different and more complex area.