Heber J. Grant indicates stake presidents will no longer recommend people to receive second anointing.
Heber J. Grant, Letter to Levi S. Udall, April 6, 1927, in Devery S. Anderson, ed., The Development of LDS Temple Worship, 1846–2000: A Documentary History (Salt Lake City, UT: Signature Books, 2011), 218
It is not customary now for presidents of Stakes, as you know, to recommend people for higher blessings. That matter should be taken up by the visiting apostle at your quarterly conference, and all recommendations of this kind should come direct from the apostles.