I think maybe the purest statement of utilitarianism is that it pursues “the greatest good for the greatest number”. The word “for” is important here. Something that improves your quality of life is good for you. Clippy might think (issues of rigid designators in metaethics aside) that paperclips are good without having a concept of whether they’re good for anyone, so he’s a consequentialist but not a utilitarian. An egoist has a concept of things being good for people, but chooses only those things that are good for himself, not for the greatest number; so an egoist is also a consequentialist but not a utilitarian. But there’s a pretty wide range of possible concepts of what’s good for an individual, and I think that entire range should be compatible with the term “utilitarian”.
I think maybe the purest statement of utilitarianism is that it pursues “the greatest good for the greatest number”. The word “for” is important here. Something that improves your quality of life is good for you. Clippy might think (issues of rigid designators in metaethics aside) that paperclips are good without having a concept of whether they’re good for anyone, so he’s a consequentialist but not a utilitarian. An egoist has a concept of things being good for people, but chooses only those things that are good for himself, not for the greatest number; so an egoist is also a consequentialist but not a utilitarian. But there’s a pretty wide range of possible concepts of what’s good for an individual, and I think that entire range should be compatible with the term “utilitarian”.