I can't get worked up about terminology. I wish they would settle on standard terms simply for the benefit of learners. The FE might use that, but the grammar check in Word uses Sentence Fragment. Some say progressive, others continuous, a few durative. The profusion of terms doesn't help learners greatly. I have no objections to 'minor sentence' at all, and can't see that much difference between it and 'sentence fragment' in all honesty.
