jonesrk wrote:They have likely marked their household as private
This "private" mark is a visibility setting in the LDS.org Directory. The visibility setting of "Private - Leadership Only" was most likely set for the entire household. You do not see the household in the Directory because of that setting but have extended viewing rights in LCR by virtue of your calling. LDS Tools reflects the visibility settings set in the LDS.org Directory.
Any adult member of the household as well as any of the ward's default administrators could have set the visibility setting to "Private - Leadership Only".