In his book, Using Type Right, author Philip Brady writes "Designing with type means controlling all the visual signals so how a typeset piece looks reinforces what it says." The typeface chosen; the size of type; placement on the page; letter, word, line and paragraph spacing; white space; type and page color; alignment — everything — help to create the visual effect and get your message to the reader.
When an illustrator or photographer puts a great image on a page, it's often the first thing we notice. But when a typographer sets beautiful, perfect type, we may never notice it. In fact, if you find yourself noticing the type instead of the message, that is bad typesetting. I've seen lots of examples of this, where the use of type is so creative that the message becomes secondary or there is no message. If the goal is fun and beautiful art, and if we're going to frame and hang it on the wall, then fine. That's the end of the discussion.
But, type is meant to be read. And usually, our goal is to use type to assist communication. Grammar plays a part in this, along with the type. The two should work together to make reading easy, even pleasurable. The best use of grammar is to clarifymeaning in the message. The best use of type is to create a mood and support or enhance the message while maintaining legibility (easy recognition of words).
I think what is important about this quote is the fact that Typography isn't appreciated as an art because when it's done at it's best as a functional piece of work, the article writer is right, it shouldn't be noticed. But the quote she references seems to make the point that the typeface chosen can have complete control over how another human being percieves it. For this reason it is an art in the sense of a skill. It is a finely honed craft in terms of trying to communicate something very specific to someone. The art is when it communicates exactly what the designer wants it to to a large audience.
This article makes a similar point about the functionality and selection of type as art, but also points out the way typography is used in 'fine art' especially since the pp art movement, where design and art's boundaries became a little more blurred. Here are some good examples they give. I think it's important that typography has become an immediate and important way to communicate in 'fine art' making essentially the type an art in it's self.