One of the qualities that today's employers emphasize, and that prospective job seekers look for, is an emphasis on work/life balance. Some people take this to mean that every workday ends at 5 pm on the dot, end of story.
Traditional resumes are always going to be necessary. Even if your resume is immediately scanned onto the computer, it is good to have a physical copy. You will want to have a copy of your resume to refer to during an interview.