Cannon says Cheika can continue as coach but his power needs to be reined in.
"The leadership team came to me".
"We're not scrappy, we're always making sure", Cheika said.
"If you haven't been good enough, or the bounce of the ball or something like that can occur, you've got to have faith inside of your own team, and then outside of the team, because at the end of the day that's the team we support".
After being thumped 37-18 by England on Saturday coach Michael Cheika has issued a defiant promise that Australia will be all the better for their awful 2018 and that he fully expects them to challenge for the World Cup in a year's time.
"Some might consider [dropping the players] a bit too harsh, but I think that the leaders showed a lot of courage coming to me to point it out because they want to set a standard here, and to make the decision is hard for the lads".
The breach of protocol by Beale, 29, and 34-year-old Ashley-Cooper, who have 200 caps between them, was reported by other players to team captain Michael Hooper's leadership group.
He went on to compare their system with those of more successful sides.
Cheika has made five changes to the side that beat Italy, with Kurtley Beale axed and rookie Jack Maddocks preferred on the left wing to Marika Koroibete who scored twice in Padova.
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In conference, Emery said that a number of players had recovered from injuries and trained, such as forward Pierre-Emerick Aubameyang and Alexandre Lacazette .
"You'd have to talk to her about those things", he said.
"It's a relatively minor team rule we have".
"This is a situation where two boys brought some friends and family back into their hotel without thinking of the implications of that, because they were friends and family", she told Australian reporters in London. 'Once it was pointed out to them that the rule was there for a reason, they recognised that they had erred and they accepted the team and Michael's position.
Having been impressed by the likes of Will Skelton, who has been transformed since joining Saracens from the Waratahs a year ago, Dwyer also believes the improved condition and form of some players overseas is an "indictment" on the Australian Super Rugby scene.
Believing that although Cheika would probably keep his role ahead of the Rugby World Cup, Cannon said his power should be reined in and an independent selector needed to be appointed to help arrest the slide.
The RA board is reportedly meeting on December 10 for another performance review, with the 2019 World Cup in Japan looming.
"There's not a bottomless pit where they can take every player in Australia and are we any worse off than say people like Argentina?"
"We have got to be that way, take it in to next season we've got a couple of days now to digest and look forward to next year to build, and we are going to have to take this tough lesson and move on".