The appeals courts and Supreme Court haven't done any real rulings on those arguments yet. All they've done is rejected Trump's requests to defer sentencing--which makes sense, because if injustice is being done, that can be handled on actual appeals and due to the sentence being stated to be unconditional discharge (no fine, no prison time), Trump wasn't facing any actual punishment outside of loss of face, and even that is very limited considering it would be barely any more than he had already suffered. As the Supreme Court said when they turned it down:
The application for stay presented to Justice Sotomayor and by her referred to the Court is denied for, inter alia, the following reasons. First, the alleged evidentiary violations at President-Elect Trump’s state-court trial can be addressed in the ordinary course on appeal. Second, the burden that sentencing will impose on the President-Elect’s responsibilities is relatively insubstantial in light of the trial court’s stated intent to impose a sentence of “unconditional discharge” after a brief virtual hearing.
I suppose your statement that "so far" they have rejected those arguments is still technically true, but the "so far" is only in regards to the emergency appeal, not the regular ones. Indeed, it mentions that the better opportunity to bring up these objections would be during ordinary appeals.