However, some new evidence comes to light showing links. In an email sent by Steve Densley, VP at FAIR, in July to advertise their upcoming FAIRMormon conference (Held the first week in Aug), he explained:
"The Church will also be creating a webpage for seminary and institute teachers that includes a link to the FairMormon website. Furthermore, the Church has notified all seminary and institute teachers of the FairMormon conference, the Church is giving them a vacation day in order to attend and FairMormon is waiving the fee for seminary and institute teachers."This appears a fairly substantial backing by the LDS church of the FAIR organization and their apologetic conference. While they didn't directly fund FAIR, they support FAIR to waive conference fees for their employees. And even more, the LDS Church is paying the educators on church salary for a day's time to attend.
To wit, here is the email FAIR sent out.