I don't think an apology will ever be adequate. But making the apologies so they don't seem to be implicitly casting blame on the accuser ("I remember it differently, but I apologize if I made them feel this way..."
would certainly help.
I have a hard time giving the accused the benefit of the doubt in most of these situations, particularly when there's been no instance of an accuser in this reckoning having made false allegations, yet certainly much evidence of many of the accused having done much of what they have been accused of.
And if evidence is lacking, then it's he said, she said, and she said, and she said, and she said, and she said, and she said. And since most these allegations cannot go to court, I'm gonna side with the shes, based on precedent.
"...everyone finally shut up, and the audience could enjoy the beginning of the Anatevka Pogram in peace."