Extraterrestrial life, if there is any, would need to be organized and to consume energy to maintain and replicate that organization.
The organization part has something to do with what the life form will look like, but I didn't specify a particular type of organization (a fur bearing tetrapod) which would make it have anything at all with what life looks like.
The definition provided has everything to do with what reactions are necessary and sufficient for there to be life.
But beyond that, I'm putting your and my definition on the back burner. I just received a book today from betty boop - thank you, dearest sister in Christ - and just by a quick scan of the content I suspect your definition is the "straight man" for what she and Robert Rosen have to say on the subject.