The 9th Circuit Court of Appeals denied PMW's attempt to get an injunction on the release of the names while the group's appeal to the Federal District Court's ruling that the names must be released.
PMW already lost the larger war in this case in the US Supreme Court where the group argued and lost last year that Washington State's public disclosure laws didn't require petitions to be made public.
However, the Court said they could try to get a specific exception if they could show that releasing the names in this case would endanger people who signed the petition.
Last month, the Federal District Court in Tacoma ruled against PMW on that score and the group is now trying to block the release of the names while it appeals that decision to the 9th Circuit.
To follow our coverage of the R-71 case and all the recent rulings, go here.