I imagine that the employers wouldn't like not being able to use a voice number. They might get put off on seeing just text only number thinking you may have something to hide? I don't know how they think. Good question.
I've been putting down my personal relay number. Relay operator can take a message for you and send it to you via email. That's what I have been doing when looking for jobs. Before there was relay, I put down my mother's number. They would call her if they were interested in interviewing me. No problems in the past. I can't do that now so obviously relay comes into the picture.