Yeah that's always a tricky stylistic choice - I include them because I know some readers prefer to scan headlines as opposed to reading every word, and I want to help them take something useful away, too. Though I do really appreciate thorough readers like you so I hope it's not too off putting :)
FYI, pull quotes usually duplicate segments of writing from the article body---they're the article quoting itself, pulling out the highlights. You're supposed to be able to skip over them when reading the full article.
~~~~ "they're the article quoting itself, pulling out the highlights" ~~~~
Like this comment: the pull quote was already present in the text.