This business of "reproach on Jehovah's name" as has been pointed out means that the Org equates itself with Jehovah.
Reproach upon the Org is what they are talking about really, so it makes it really strange that they have such a poor record in making sure reproach on the Org does not happen.
The primary example of this is the Sex Abuse Scandal. If they had only done what they should, institute immediate Reporting to all appropriate Authorities, and set up an actual working Vulnerable Persons protection Programme, as all responsible Organizations do, they could have avoided much reptoach upon the Org, and more importantly avoided much of the abuse actually happening.
THEY STILL HAVE NOT DONE THOSE TWO THINGS !!!! WHY ??
The other area they fall down on is their woeful lack of any real Pastoral work, so many problems become Big problems, which if they had skilled Pastors actually caring for the flock, would have been dealt with before they grew to the point where someone has to be DF'd.