I still think a well-placed short fragment is useful in some situations, especially in dialog or for emphasis. But a fragment should be intentional rather than accidental. The author should know exactly why he or she is using it.
Do you have an article yet on the replacement for the universal “he” that we used to be able to use without being accused of being sexist? The easiest way to avoid it is to use the passive voice, still a no-no and not as clear. In the last sentence of my first paragraph that would be “the author should know exactly why it’s being used.” Others change the “he or she” to a “they.” “They” doesn’t agree with the singular verb and pronoun. So one seems to be forced to say “Authors should know exactly why they are using fragments.” But I’d still rather speak of a singular author. I still prefer the universal “he,” and believe the charge of sexism here is much ado about nothing.