Please, say that you're not claiming all of that in a serious way
I am indeed. And I would say the same had Apple won and Samsung been required to post a statement that they had copied Apple's designs.
Free speech is at the heart of democracy and compelling speech a violation of the spirit. It requires extreme justification for this. Some potential justifications might be:
In case of libel, a statement correcting the libelous statement. Of course, no claims of libel were raised in this trial.
Significant use of advertisements or posts on website to fight the case in the court of public opinion. Apple has never mentioned Samsung in an ad, and the notice published was the first visible reference to the legal fights.
Customers of an affected product would be able to take some action to receive some benefit (a.k.a. a product was found to be defective in a class action suit and customers needed to be informed how to take advantage of the payment/repair/whatever). Not relevant here.
Perhaps you could require some publicity if the charges had been highly reported on but by time of the verdict the coverage had ended. Clearly not true here, there was massive coverage of the verdict.
Sometimes an apology is part of a settlement and the judge might be involved in enforcing that the apology does happen, but this did not happen in this case.
The facts simply do not justify the extraordinary act of hijacking Apple's free speech rights and demanding specific speech. This decision merely compounds the tyranny, not merely compelling specific speech but denying Apple the right to include true statements about the language of the judgement and the existence of counter judgements.
In terms of actual effect, is this a big deal? Probably not. But the principle is huge. Imagine a system where those convicted of a crime, even though they protest their innocence, are required to go on TV and state "Yes, I did these deeds". Imagine a system where your family was killed from a faulty space heater, you sue and aren't able to fulfill the burden of proof that the maker was responsible, and you were required to state "Heatco Space Heaters had nothing to do with my family's death and I was wrong to suggest otherwise".
And again, my position would be the same had the verdict gone the other way and Samsung been required to post a statement that it was guilty of copying. The freedom of speech, including the freedom not to speak, is paramount.