Even as a Google SRE who came in with a Systems Engineering focus (i.e., sysadmin), I found it useful to qualify for, and become, a SRE-SWE so that I could also

Even as a Google SRE who came in with a Systems Engineering focus (i.e., sysadmin), I found it useful to qualify for, and become, a SRE-SWE so that I could also add Software Engineer to my résumé (I wrote enough code that I should get that title). Big and scaling companies still find the combination of sysadmin and software engineering skills extremely valuable, but you do need to emphasize that you are a skilled software engineer as well.