You're both right that this kind of language is used non-stop by people in certain roles today - especially politicians. Of course, that has always been the case in politics at any point in history I have any real knowledge about. In a courtroom, there are some real differences.
First, certain types of statements may be considered impermissible, and challenges are possible in various forms during various phases of a trial or hearing. Further, people who work in these environments tend to acquire a sort of "rhet-dar" (and a rather explicit form) that too many who don't get this kind of 'practice' every (work) day don't. And, of course, instructions can be provided to juries to disregard certain statements / evidence depending on challenges / various issues with something brought into a legal proceeding. Finally, at actual decision time, while rhetoric can influence, whether the decision is made by a judge or jury, the emphasis will be on facts, laws, interpretations of laws, etc.
Fluff rhetoric like "out of context" in an opening statement is quite empty, especially by the time a proceeding is wrapping up. Always makes a good sound bite for the external world though.
I can't personally be much more specific since my own legal experiences (of various types) have been ad hoc and infrequent. I considered pursuing a degree several times, never did. In particular, anyone reading would be right to not consider this in any way an authoritative comment. I will provide one ref though that has some pretty good additional info from what I had a chance to skim when looking for a bit more to give y'all. I'm sure there are others here far more expert than I, perhaps one will flesh things out better than I may have - but, giving at least a sense of the role that that kind of journalist-bait might play in an actual legal proceeding seemed worth something...
https://law.temple.edu/aer/2019/03/23/opening-statement-v-ar...