She also moved to excuse Williams' behaviour during an interview with ESPN the following day when she suggested Williams would not have expected her outburst towards Ramos to have been captured on live TV.
Cartoonist Mark Knight's image, published in Melbourne's Herald Sun, showed an angry Williams with exaggerated lips and tongue and a wild plume of curly hair rising from the top of her head as she stomped on her tennis racket.
But after returning to Japan on Thursday, Osaka insisted there were no hard feelings towards Williams, who branded umpire Carlos Ramos a "thief" in an astonishing tantrum triggered by a code violation for coaching that culminated in a docked game. Sometime later, she smashed her racket in frustration.
'Ramos is tough, one of the best umpires in the world, he did what he had to do in that match, because she overstepped the limit.
"I'm genuinely embarrassed for you", Julie Stoddart said in a tweet, while Ken McAlpine tweeted: "Poor little newspaper needs a hug". "I have a daughter and I stand for what is right and I have never cheated". "It made me feel like it was a sexist remark", she told reporters on Saturday.
"But if you were talking about my tennis, I think my tennis is not very Japanese".
Knight's cartoon in response to Williams on-court and off-court antics quickly came under fire from Chicago sports radio host Julie DiCaro.
The veteran cartoonist added Wednesday he had suspended his Twitter account to protect his family and friends.
He questioned the imposition by social media critics of no-go areas in cartooning and other critical media.
However, he would go on to recant his observation.
Osaka, 20, heard boos when she was receiving her trophy and in the moment thought they were directed at her for her win against fan-favorite Williams.
"A champion tennis player had a mega tantrum on the world stage, and Mark's cartoon depicted that", said Johnston.
Underneath the headline "Welcome to PC world", the newspaper wrote: "If the self-appointed censors of Mark Knight get their way on his Serena Williams cartoon, our new politically correct life will be very tiresome indeed".
"The Sept 10 cartoon not only exudes racist, sexist caricatures of both women, but Williams' depiction is unnecessarily sambo-like", the association said in a statement.