There are programmers and there are people who can write programs. There is a huge difference.

No, I think you will find that there is not a huge difference - in fact, the definition of programmer is one who writes programs.

I've seen the word developer used as an extension of programmer - someone who doesn't need a pseudocode specification to turn a requirement into a solution, whereas a programmer may be someone who just translates the spec into a machine-readable format. Both are programmers, though.