Earlier, as Williams pleaded her case on court with tournament referee Brian Earley, calling the penalties unfair, she said: "Because you're a woman, you're going to take this away from me?"
When a reporter asked Williams whether her mind had flashed back to her infamous tirade over a foot fault in the final at Flushing Meadows nine years ago, she replied: "I think it's just instantly, just like, 'Oh, gosh, I don't want to go back to 2004.' Forget 2009, you know".
"'This is your coach, who I say visibly give you signals".
"I don't cheat to win. I have a daughter and I stand for what is right and I have NEVER cheated".
Later in Saturday's match, Ramos docked Williams a point after she smashed her racket upon misplaying a shot.
Mouratoglou later said he had been giving her instructions, but added he did not think Williams had looked in his direction.
"When a woman is emotional, she's "hysterical" and she's penalized for it", she continued, echoing Williams" point that male players are never penalized for outbursts - even the profane ones. When a man does the same, he's "outspoken' and there are no repercussions", she told Twitter followers.
Osaka, the first Japanese man or woman to score a Grand Slam singles trophy, could hardly enjoy this career milestone because of how the match unfolded.
After losing her serve to Osaka in the seventh game, Williams admonished Ramos again during the changeover. What was supposed to be a fairy-tale matchup for Osaka and the player she idolizes, spun out of control after Williams was handed code violations that she described as unfair.
Williams also said there had been no problem with Ramos in the past.
Ings once issued a warning, point penalty and a game penalty against McEnroe at the 1987 US Open for obscenities directed at the umpire.
The money will go to the International Tennis Federation's Grand Slam Development Fund. "You owe me an apology".
"I know that everyone was cheering for her and I'm sorry it had to end like this", Osaka said.
Williams came into the match carrying a 2-7 record when losing the first set in a Grand Slam final. Williams then slammed her racket to the ground in frustration and was assessed a second violation from Ramos that resulted in a point loss.
Yet Richard Ings, a former professional chair umpire who also used to be the ATP Tour Executive Vice-President, Rules and Competition, felt it was Williams who needed to apologise. "The game respects HER".
"Top umpires have to be able to withstand the pressures put on them by the top players who do not own the court", he told the NYT.
"I've never seen anything like it. Tennis was the loser and we lost what was potentially a fantastic match", Barker said.