The Swans on Friday rejected assertions there were more than five players in the Melbourne room on Monday morning when the second-placed side's premiership hopes were sensationally "torpedoed".
Cox and captain Callum Mills spoke publicly for the first time since Isaac Heeney, Chad Warner, Nick Blakey, Riley Bice and James Jordon were suspended for the rest of the season for "breaching club standards".
A lawyer acting for two women at the centre of the investigation claimed there were "more than five" men involved at East Melbourne's Pullman Hotel, but declined to answer whether any coaches were present.
The lawyer also reportedly threatened to initiate legal action in the Victorian Supreme Court, with the alleged victims to seek damages for pain and suffering, psychological injury and economic loss.
"I cannot comment on what happened in the room. It is a police investigation," Cox said before adding he was not in the room.
The Swans later issued a statement condemning "misinformation" being circulated.
"... The only representatives of the club in the room central to the police investigation were the five players who have been stood down. We have every reason to consider that reports to the contrary are simply false," the statement said.
"We would also like to take this opportunity to condemn some of the misinformation being reported and are now considering our legal position on those matters."
Cox was out himself well after midnight celebrating Sydney clinching a top-two spot and two home finals with a 36-point win over Essendon on Sunday.
But he was coy when asked if it was a mistake to give his players a free pass to go out drinking without a curfew.
"We spoke about post-game, about what's required to make the right decisions," Cox said.
"These obviously aren't the right decisions and that's why we've acted as a football club and come down with the sanctions."
Asked how much soul searching he'd personally done this week, Cox said: "It's been a really hard week for everyone involved at the football club. We're not shying away from that".
Cox conceded he and other "leaders" within the club needed to take responsibility in rebuilding the Swans' battered reputation after the lawyer claimed the two women involved were treated to "abhorrent" actions, the worst he'd heard of in 28 years.
"I've been at the football club for nine years. Every person within those four walls we value extremely highly and they have a massive say on our culture as a group," Cox said.
"We understand as leaders we need to lead that culture, but what we are going to do is back ourselves, and we're going to move forward and we're going to strive as strongly as we possibly can to repay the faith."
When handing down the club's punishment on Wednesday, Swans chairman Andrew Pridham said the sanctions would "torpedo" the second-placed Swans' title hopes.
Already there is talk of a massive dressing-room divide with just one home-and-away round left to play before the finals and that the five banned stars may have played their last games for the club.
But, despite saying "we believe that the five players have let us down", Mills denied there was a "rift" within the playing group.
"Football's secondary at the moment, but we will stick together," Mills said.
"Everyone's going to be feeling every different emotion, but we'll work together and we'll stay together."
Independent of the AFL-endorsed club bans, Victoria Police Sex Crimes Squad detectives have flown to Sydney to continue the investigation into the alleged activities.
No charges have been laid and AAP is not suggesting any wrongdoing.
But some fans are already voting with their feet amid fears diehard supporters will conduct a walkout after the women's leg of Sunday's historic AFL-AFLW double-header at the SCG.
The Swans face Essendon in the AFLW before Mills' men take on North Melbourne in a match that has no bearing on their finals position.
"I can appreciate why people would potentially do that but as a club we're staying united," AFLW captain Lucy McEvoy said on Friday.
"The best way to get through it is to support us at the moment. As a club, we'll certainly be uniting as one on the weekend."
Experienced midfielder James Rowbottom, veteran Harry Cunningham, Angus Sheldrick, Caiden Cleary and Tom Hanily were on Friday evening confirmed as the replacements for the banned five players, for the AFL clash with North Melbourne.
