Cedars, I guess part of the technicality is in the wording. Of the different cases involving the children of elders that I've known, if a minor child living at home is disfellowshipped, 100% there will be a meeting about his qualifications and it may be black-or-white, kick him or keep him. However in most cases, the children are "weak," involved in "questionable conduct," or inappropriate dress and grooming. Those cases rarely led to an official meeting of "kick him or keep him." It was usually a case that the subject will get brought up over and over in many elders meetings and when the CO visits. I've heard plenty of these conversations:
"We've noticed that Br. Elder's son has low hours and isn't commenting. Is there something we can do to help?"
"Well, he's going through a rough phase."
"Yes, often happens at that age. Perhaps he's influenced by worldly friends, maybe a girlfriend."
"No, he spends most of his time home in his room."
"Does he have the Internet in his room. Is he doing anything... inappropriate, that would make it difficult for him to maintain his spirituality."
... and this type of thing could go on for a long time and repeated grilling during many elders meetings. And the vibe will often be very strong that they are questioning his qualifications, even though they never get to the official "kick him or keep him" meeting. It's a lot of threats, fear, intimidation that the elder than passes along to his family to keep them in line. Brothers often have to answer for their wives low hours, missing meetings, tight clothes, etc. Although they don't actually remove a brother's "privileges", they certainly flex that threat. Often the brothers don't get removed, instead they get tired of the abuse and step down for "family responsibilities".