Is there a term for an offset quote that is only quoting the body of the text?

Question

A trend in many magazine-style articles is to take a quote from the body of the article and place it in its own blockquote or other special formatting, then place it somewhere irrelevant in the flow of the document.

SOME NON-SEQUITUR NONSENSE

Is there a name for this practice? It can occasionally add some context as an image caption, but most of the time it simply breaks the flow of reading with some non-sequitur nonsense, as above.

In all honesty, the whole reason I want a name for this is so that I can complain about it more effectively. I work at a publishing company, and I've seen this practice sneak into a few of our books. In addition, it's quite common in professional blogs such as The Verge, witness the obnoxious orange text splattered throughout.

Answer 1

As noted in my answer to a related question, terms callout, pull quote, sidebar, hook, and blurb are names of various forms of emphasized quotes that accompany magazine articles. Also see What is the name of the technique where an article quotes itself in large text?, which quotes from desktoppub.about.com as follows.

Used to attract attention, especially in long articles, a pull-quote is a small selection of text pulled out and quoted in a larger typeface or using some other formatting distinct from the rest of the article. A pull-quote may be framed by rules, placed within the article, span multiple columns, or be placed in an empty column near the article.