True, but then really no one could be considered a "full stack" developer. Personally, I consider "full stack" to be just a blanket statement to mean people who have no problems wearing different hats and can figure things out to get the job done. Unless they've been pigeon-holed their entire careers due to enterprise specialization or are just that closed-minded to learning new things, I think most good developers end up becoming "full stack" after enough time.
I think "full-stack" means, when translated out of marketspeak, "you won't get any support or help from anyone else, so you'd better be self-sufficient at all things."