I’ve worked in software my entire life, including years of hiring developers. I never even heard of ABET accreditation until I had a child pursuing engineering. Employers are going to ask you about what you studied, what projects you did, and what internships you had. They’re going to look for someone who wants to continually learn as the landscape changes so drastically (web sites didn’t exist when I was in college, now that’s all I work with!).
I can see ABET accreditation for the specialized example of working in patents, certain gov’t jobs, or intense research positions - but overall it’s not an issue.