*** w79 4/1 p. 31 Questions From Readers ***
● Is Jesus the “mediator” only for anointed Christians?... At a time when God was selecting those to be taken into that new covenant, the apostle Paul wrote that Christ was the “one mediator between God and men.” (1 Tim. 2:5) Reasonably Paul was here using the word “mediator” in the same way he did the other five times, which occurred before the writing of 1 Timothy 2:5, referring to those then being taken into the new covenant for which Christ is “mediator.” So in this strict Biblical sense Jesus is the “mediator” only for anointed Christians.
This view was reaffirmed 10 years later:
*** w89 8/15 p. 30-1 Questions From Readers ***
□ Is Jesus the Mediator only for spirit-anointed Christians or for all mankind, since 1 Timothy 2:5, 6 speaks of him as the “mediator” who “gave himself a corresponding ransom for all”?
... The people of all nations who have the hope of everlasting life on earth benefiteven now from Jesus’ services. Though he is not their legal Mediator, for they are not in the new covenant, he is their means of approaching Jehovah. Christ said: “I am the way and the truth and the life. No one comes to the Father except through me.” (John 14:6) All who will gain life on earth must direct their prayers to Jehovah through Jesus. (John 14:13, 23, 24) Jesus also serves as a compassionate High Priest who is able to apply in their behalf the benefits of his sacrifice, allowing them to gain forgiveness and eventual salvation.—Acts 4:12; Hebrews 4:15.
Consequently, 1 Timothy 2:5, 6 is not using “mediator” in the broad sense common in many languages. It is not saying that Jesus is a mediator between God and all mankind. Rather, it refers to Christ as legal Mediator (or, “attorney”) of the new covenant, this being the restricted way in which the Bible uses the term.