And they will.

And it did produce a paper log for verification. The system mentioned in the OP is authorized for use in NC, and it does produce a paper printout the the voter can use to check for accuracy.

https://www.essvote.com/products/expressvote-xl/

as long as there is a paper trail for official purposes, and you are able to walk out of the polling place with a paper copy attesting to your votes.

The one thing I see happening that is most disconcerting to me is the potential loss of anonymity in our voting, thanks to all these "verification" laws R's have put into practice.

It's one thing to walk into a line to get your blank ballot and having to produce a photo ID, although there are disparities across states as to what constitutes a "valid ID" and how much assistance is offered in helping you to procure one if you don't already have a driver's license. This is ripe for malfeasance where the elderly and disabled are concerned.

But all this emphasis currently being placed on "signature" verification is frightening. Whose handwriting hasn't changed over time, due to chronic illness or, especially, age. Writing your name at 18 produces a different product than one done at 68, for example. I asked about this at our county election office during one of our last elections and got an answer I wasn't really comfortable with... basically it was, "we don't check that." Well... no... not right now you're not. Since we're a red state, how long is that rule going to apply? Note: I'm one of those whose signature looks substantially different than it did from when I first registered to vote. I don't think I'm alone.