I wonder if there's any connection between them not having children to their indifference(?), allowance(?), to all the abuse within the org?
Quite likely. Rather like the old image of the Victorian grandfather type who disliked kids and felt they should be "seen and not heard" - someone like that is less likely to be sympathetic to any child's fears and concerns, or willing to pay attention to children who try to open up about abuse or suffering.
Thus for the desire to a have children to become a blessing, instead of a selfish longing, a drastic devaluing of theocratic 'careers' would have to occur.
That shouldn't have to be the case, if the Org had made a "balanced" (one of their favourite words) case for either choice in the first place. They tread that tightrope over marriage (albeit a bit awkwardly still), saying that neither being single nor being married is automatically "better" (though they do lean slightly more towards "singleness", at times in history more than others)
Also, there are plenty of examples in the Scriptures that show the value and blessing of having children, which they could draw on if they wanted to (eg: Hannah's prayer). They have even sometimes used these scriptures when writing material for existing parents to help them cope with challenges of parenthood. So why not extend that to those not yet parents but perhaps thinking of becoming so?
It's their inflated attitude towards "theocratic" assignments that already causes a lot of unhappiness. For example, lately they are having to produce a lot of articles to encourage JWs who are elderly or sick not to be "discouraged" that they can't do what they used to in "theocratic activity". But why are so many of the R&F feeling that way? Because for decades they have been told that the only way to be valuable is to be "reaching out" doing these activities! As a result, now that these individuals can no longer do as much, many of them are feeling worthless. And of course, Org policies like booting out lots of Bethelites make that worse and increase those fears.
Yet if the R&F had been given a more "balanced" view of ways to serve God, they would find it easier to switch between what they can and can't do, as they go through different stages of their life. It's similar with having children. In a healthy environment, a young adult will be taught simply to adapt their life to the needs at the time, for example, when younger and single, spending more time in studying, working and travelling is fine, but when you become a parent, your "work-life balance" shifts, and you need to allocate more time to parental responsibilities. That's neither a "better" or "worse" way of living, it's just what's needed for that stage of life.
Only very recently, and in very specific contexts has the Org begun to slightly hint that sometimes it might be good to reduce "theocratic activity" - that's been when writing about elders who have been neglecting their wives and families in order to do more in the congregation. Even that problem could have been prevented if the Org had been more "balanced" about the importance of congregation assignments in the first place!