I understood from my time as a JW that the FDS said Jesus died only for them as only they are Christ's brothers & the rank & file JW's are not.
The Lie:
"Falsely, however, some who professed to be Christian brothers charged that The Watch Tower had denied that Jesus is the Mediator between God and men, that it had repudiated the ransom and denied the necessity and fact of the atonement" (Proclaimers, ch.28, p.630)
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The Fact:
"Jesus Christ in heaven is the Mediator between God and the spiritual Israelites" --W 11-15-79
"Likewise, the Greater Moses, Jesus Christ, is not the Mediator between Jehovah God and all mankind. He is the Mediator between his heavenly Father, Jehovah God, and the nation of spiritual Israel, which is limited to only 144,000 members." -- Worldwide Security Under the "Prince of Peace" (1986) pp.10-11 ch.1
"So in this strict Biblical sense Jesus is the "mediator" only for anointed Christians." -- Watchtower 1979 Apr 1 p.31
"... the invitation to come to Jehovah's organization for salvation" -- Watchtower 1981 November 15 p.21
"The other sheep should never forget that their salvation depends on their active support of Christ’s anointed "brothers" still on earth."
-- W 3-15-2012, pp. 20-24