Yeah, I was never aware of a sysadmin who couldn't code.
Generally, a sysadmin has slightly different skills from a developer - they might code in a highly imperative style and always keeping the actual machine/system being targeted in mind, but I've never known a half-decent sysadmin who cannot write code.
I consider myself a developer (though I call myself software engineer, due to the incompetence of other "developers" I work with).
I know a reasonable amount of sysadmin (all my computers run Linux primarily, I only keep Windows on for checking hardware issues, and a couple of specific apps I need to run once or twice a year).
I wouldn't apply for sysadmin jobs, because I wouldn't feel my knowledge is enough. I have however seen devops jobs that seem to match my skillset - developer with a bit more. I hadn't really heard of the term until I saw the job ad.