A few states are using direct recording systems, without a paper trail:

https://ballotpedia.org/Voting_methods_and_equipment_by_stat...

"Currently only one state — Louisiana — keeps no paper trail of votes at all. Counties in eight states — Indiana, Kansas, Kentucky, Mississippi, New Jersey, Oklahoma, Tennessee and Texas — use a hybrid system" where some, but not all votes will have a paper trail.

(from https://madison.com/on-paper-ballots-for-the-2020-election/a...)

Correct, this is all in the dominion voting machine documentation. In some implementations if a ballot goes to adjudication based on some configured error threshold it means the machine operation gets a chance to look and decide what the ballot actually says, at which point it generates a new “corrected” ballot image and discards the “unreadable” one.

The problem with Georgia and Dominion Voting Systems in particular is that the ballots are digitally printed and can be printed on the fly. They are subject to manipulation by a single compromised person in a voting precinct through the system's "adjudication" process. In some precincts, DVS machines were failing at a rate of 70%, leading all ballots to be sent to the precinct overseer who literally just clicks and drags ballots into whatever candidate they think the person voted for. Doing this actually changes the record. Yes, the original ballot record gets destroyed and a new one gets created. It's that insecure. These machines also require USB transfers between ballot machines and a central machine. In some cases thousands of votes were found a a USB thumb drive weeks after the election. DVS is that convoluted and that bad.