In many countries automated counting is not a thing. All interested parties gather in a room and manually count it.

So what makes this better than a pencil mark on paper?

Aside from humans being terrible random number generators, not as such.

It’s better to seed a CSPRNG with a source of entropy though. E.g. there are tools that let you enter the result of many dice rolls and use it to generate a key.

I see TFS reference, I upvote