This point was stressed in a talk by the DO at our recent Circuit Assembly. He said that for most in attendance, Jesus was not their personal Mediator. Rather, he is Mediator for the few chosen spirit annointed ones. To soften the impact, he added that this does not mean that we don't benefit from Christ's ransom and his example.
I wish I could set up an Assembly exit poll and ask those in attendance, "Is Jesus your Mediator?" I would be interested in the results. I have asked this question of several JWs before and most say, "Yes." When I say, "That is not what the Watchtower teaches," they act shocked until I explain the doctrine. Then they slowly recall hearing something like that somewhere. Then, they chalk up the error in applying the term "Mediator" to an issue of semantics. They feel comfortable with, "Jesus is their "Mediator" but he is my Savior and my way to approach God."
But I don't buy it when I read the scripture at 1 Timothy quoted above:
“There is one God, and one mediator between God and men, a man, Christ Jesus, who gave himself a corresponding ransom for all—this is what is to be witnessed to at its own particular times.” (1 Timothy 2:5, 6)
For the WT to then say immediately after the scripture that this applies especially to the 144,000 is going beyond what is written. You can't pick a scripture that says "all" get the mediation service and then say that it doesn't really mean "all" it just means "some."