That depends.
And it depends on how this is implemented:
- Who decides that such a banner appears?
- According to which criteria?
- When, that is: how soon does this appear?
I guess that methodology and procedure will have to be written down and explained beforehand, at least here on meta, if implemented.
And if there is such a rule, I guess I'd like that to be applied strictly and swiftly and uniformly:
if one Trump-question gets that banner, then quite likely all Trump-questions should get one?
I think the worst would be to apply that too much "on a case by case" basis. That would leave the impression of arbitrariness on some for sure and therefore also ensure complaints about that unwritten and consequently unknowable "rule".
Seeing how this is implemented on the Interpersonal Skills SE: these banners should contain a link to the meta post explaining these rules in more detail.
Something I observed: while it is certainly correct that "the policy that comments should be improvement suggestions and answers should answer the question (nothing more and nothing less) applies always!" it seems equally correct to say that this rule is obviously not always applied.
Sometimes the lines between "not correct"-comment (useful, objective, improvement encouraging criticism) and chit-chatty "duh!"-comments is hard to draw. I am no fan of either over-eager comment deletion nor blackhole-comment-threads.
I think having that rule set written down and easily accessible from that banner would explain this site's standards quite effectively, especially to the "Wayfarers" from indigochilds answer.
Since many visitors and especially low-rep "repeat offenders" against the "what are comments meant to be/there for" rules can be assumed to be ignorant of these rules, as they simply did not read the rules on this it would be low hanging fruit to include a link to more detailed explanation for the banner and a reminder to the rules in general.