I saw this poster on a friend’s Pinterest board. I agree with you: it’s so wrong!
I do see a difference between the terms “geek” and “nerd,” but it’s only in that being a geek is about being extremely enthusiastic about something, while being a “nerd” is about being extremely knowledgeable about something.
As in a Lord of the Rings geek loves Lord of the Rings; while a Lord of the Rings nerd know things about Lord of the Rings most fans don’t even know.
Geeks and nerds tend to have the same interests. You can be a tech geek (I am), but you can also be a tech nerd (sadly, I’m not that knowledgeable). I’m a book nerd, because I know a lot about books and writing. I’m also a book geek, because I love books with a passion. I’m also both a comics geek and a comics nerd. And I love Nerdcore almost to the point of geekiness (but not quite).
I think being knowledgeable and enthusiastic are wonderful traits, so I’m a proud nerd and a proud geek. We should ALL be. The world would be a better place if we could all unabashedly embrace our passions. Nerds and geeks rule!