That's one of those questions where you have to ask, how do you define your job?

If, as a DBA, you see your job around setting up servers, handling security, and responding to user requests... yes. You're going to be downsized.

If, as a DBA, you see your job as automating processes, working with developers and the business and administrators in a devops fashion, designing and growing new technologies and technological solutions, oh no. You're going to have WAY too much work to do.