So, I'm just putting this out there.
Here is the CIPR definition of PR:
Public relations is about reputation - the result of what you do, what you say and what others say about you.
Public relations is the discipline which looks after reputation, with the aim of earning understanding and support and influencing opinion and behaviour. It is the planned and sustained effort to establish and maintain goodwill and mutual understanding between an organisation and its publics.
Now replace PR with SEO:
SEO is about reputation - the result of what you do, what you say and what others say about you.
SEO is the discipline which looks after reputation, with the aim of earning understanding and support and influencing opinion and behaviour. It is the planned and sustained effort to establish and maintain goodwill and mutual understanding between an organisation and its publics.
Let me know what you think.