To answer your question, one must ask: When did the Battle Creek Sanitarium quite filling God's purpose. NOTE: I assume that you referenced the Sanitarioium rather than the Review & Herald.
Well, the Sanitarium burned in 1902. After it was rebuilt and dedicated in 1903, EGW spoke about it at the General Conference. At that time she clearly refered to the new building as being the Lord's institution and urged that it be supported. See The General Conference Bulliten, 1903, pages 58 & 67 as reported in Ellen G. White: The Early Elmshaven Years, Vol 5, 1900-1905, pages 148, 162 & 163.
Once the Sanitarium left the Church, ,so to speak, it was operated by J. H. Kellogg. Eventually the property was purchased by the U. S. Government (early 1940s, I think) and it is presently used as a government office building. Due to its SDA history, official denominational agencies are allowed to take groups on tours of the building. A few years ago, I took one sponsored by aDventist Chaplaincy Ministries of the General Conference.
While I do not have the date before me, a smaller medical institution was established in Battle Creek. I am uncertain at the moment as to whether or not it is still in operation.