I'm not sure why a luddite would also want an email account!
But in seriousness, at least in the UK, you can have SMS sent to a landline number no problem. Some magic along the way results in a phone call and a robot reading out the text message. Our banks even use an automated outbound voice messaging platform to do the same thing as the SMS for people who don't have a mobile.
I expect they'll offer this if demand is high enough.