I think there was a misunderstanding of what I was trying to convey.
There are groups that take the name of LDS or of a Catholic order and they are not recognized by the Heads of those churches.
Those kinds of groups should not be posted as if they are member in some way or was once related to the official Church.
That is the distinction I was trying to make.
I agree. FAIR has this disclaimer, albeit in tiny print, at the bottom of their main page:
FAIR is not owned, controlled by, or affiliated with The Church of Jesus Christ of Latter-day Saints. All research and opinions provided on this site are the sole responsibility of FAIR and should not be interpreted as official statements of LDS doctrine, belief, or practice.