Paula Gilfoyle, who was pregnant at the time, was found hanged at the couple's home in Upton in 1992.
BBC: Convicted killer Eddie Gilfoyle's gagging order lifted
Although campaigners said they had also been prevented from speaking out, the ban did not apply to Gilfoyle's lawyers or relatives.
Gilfoyle has had two appeals against his conviction rejected but has lodged a third bid with the Criminal Cases Review Commission (CCRC).
Gilfoyle's legal team had asked the board to reconsider the restrictions, arguing that they were unlawful and would be challenged in the courts.
Gilfoyle was freed on licence last month after serving 18 years of a life sentence for the murder of his wife Paula, in Wirral, Merseyside, in 1992.
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