I didn't realize this Watchtower teaching before but they teach that the anointed (which include the Governing Body die a sacrificial death. What does that even mean? Fortunately, we have the Governing Body to explain that for us -
Watchtower 06 2/15 states
The apostle Paul later spoke of Christians’ being “baptized into [Christ’s] death.” (Romans 6:3) The anointed live a life of sacrifice. Their death is sacrificial in that they renounce any hope of everlasting life on earth. The baptism of these anointed Christians into Christ’s death is completed when after dying faithful they are resurrected as spirit creatures to “rule together as kings” with Christ in heaven.—2 Timothy 2:10-12; Romans 6:5; 1 Corinthians 15:42-44, 50.
So, they die a sacrificial death because they give up life on earth.
The Revelation book also states the same, page 100
Indeed, all those who are begotten as spirit sons of God die a sacrificial death. Because of the role they are to play in Jehovah’s heavenly Kingdom, it is God’s will that they renounce and sacrifice any hope of life everlasting on earth. In this respect, they submit to a sacrificial death in behalf of Jehovah’s sovereignty. (Philippians 3:8-11; compare 2:17.)
However, the scripture they quote in Philippians likens this sacrificial death to that of Jesus, being one of suffering -
My aim is to know him and the power of his resurrection+ and to share in his sufferings,+ submitting myself to a death like his,+ 11 to see if at all possible I may attain to the earlier resurrection from the dead.+to see if at all possible I may attain to the earlier resurrection from the dead.+This can only mean that Jesus didn't die a sacrificial death due to his horrible suffering and excruciating pain, rather, it was sacrificial because he had given up life on earth.
Also in the Revelation book pg 289 is this
Certainly, Satan would like to have executed all of them with the ax, but, in fact, not all of Jesus’ anointed brothers die as martyrs. Many of them die of disease or old age. Such ones, however, also belong to the group that John now sees. The death of all of them is, in a sense, sacrificial. (Romans 6:3-5)
I knew that they taught Jesus death as a human was a trade for the sinful Adam and Eve and his life on earth needed to end for this sacrifice to be made. But for the 'anointed' to die by any means, their death is seen also being sacrificial is incredible.