I would say, rather, that it is taking to extreme the neglect/disdain of the Church fathers. The Reformer never did this, but modern Fundmentalists do. The Mormon claim about the Great Apostasy is quite like the Baptist claim of a “secret” Church that persisted during the thousand years before coming into the open again at the time of the Reformation. One can surmise, that this is where Smith got his notions from, that and the freemasonic ceremonies that his liturgies resemble. Even today, one suspects that beyond the public faith is a secret one, one known just to the select few. This may not be the case, but a more public stance would help dispel the rumors.
Is referring to the mormon church, and there is indeed a secret one for the "select few"...and I suspect Romney is one of the few.
SECOND ANOINTING or SECOND ENDOWMENT
This ordinance is so rare that many good Mormons do not even know that it exists. It is done only by invitation from the president of the church, to one married couple at a time. It is performed in the Holy of Holies room of the temple by one of the apostles of the church. Those who receive this ordinance are guaranteed of their salvation and exaltation in the highest degree of the Celestial Kingdom. The man is anointed as "priest and king" (the wife is anointed "priestess and queen") and their "calling and election [to exaltation] is made sure." Part of the ceremony is performed by the couple in private in their own home, following instructions given during the temple ceremony, and includes the ceremonial washing of feet. One implication of the ceremony is that the recipients will have a personal visitation of Christ. In earlier days many devout Mormons received this ordinance, but since the 1920s it is extremely rare, and probably only given to those in high leadership positions in the church.
For a detailed description of this ceremony, click here. (offsite).