Cheika said he would have got involved in a media war with Jones if he felt it would have advantaged Australia.
"If I thought it would have made us play better, yeah I would have got into it," Cheika said.
"It's nice to circle around that idea and go 'yeah that makes a difference,' but anyone who knows the game will understand it has no bearing whatsoever on the end results.
"I probably haven't been the most popular character all my life, so I wasn't used to people liking me anyway.
"If they are not big on the way I've taken on the media campaign then that's their problem. I've done what I think is best for the team and I still believe it's the best for the team."
Cheika said he wasn't motivated by anything people said about him in the media. "It's just an opportunity to take a potshot," he said."
"One thing this team has is a lot of humility, when you win and when you lose."
-AAP