I'd love to hear some good succinct explanations on this that I can share.
The problem with trust is that all it takes is one example of cheating to shatter that belief.
We had a president elected with votes known to be facetious: it has been caught with numbers not adding up. Maduro in Venezuela.
And in the US there are several states who have reported more than dubious behavior.
And when people try to look in the matter, a mysterious "update" to the voting machine happens and then all the counts are lost.
And people have to trust that?
You to be one heck of a government-loving person to look the other way and pretend that there's no fraud ongoing.
You could say stuff like "on average it's fair" or "there's cheating in only 3 of the 52 states" or "there's too little cheating for it to influence the result".
But you cannot say: "Voting is 100% fair, we need to educate the masses so that they understand that".
Gives you the best of both worlds: a quick electronic tally, but a full paper trail for auditing purposes.
Paper ballots do seem to be simpler.