Character statements should always be taken into consideration and accepted, unless there is some misinterpretation, contradicting logic, or alternate reasons for why the character stated it.
-Itachi's Amaterasu and Yamamoto's zankpatou generating flames as hot as the sun. (Naruto/ Bleach)
-Cell capable of destroying a solar system with a ki blast (Dragon Ball Z).
-Aizen's big Black Coffin on Dangai Ichigo capable of tearing through space and time. (Bleach)
-Claims of Yuyu Hakusho characters being planet-busters.
The Amaterasu example is obviously incorrect and considered nothing more than hyperbole because of lack of feats.
Yamamoto's Zanka no Tachi should be accepted, because not only was a specific number of the temperature given (central stellar temperature), but a rough picture of how hot his reiatsu armor was also given (precisely, he described himself to be the embodiment of the Sun). Even Haschwalth acknowledged the ridiculousness of such temperature, but came to accept it. It's not hyperbole, no bluffing, no overconfidence or arrogance, or misinterpretation here.
Cell's statement that he can blow away the solar system can go either way. Perhaps it's hyperbolic, because Cell was so overconfident and arrogant at that point. Also lack of feats from Cell himself and from people who are way stronger than him (Kid Buu only being able to bust a planet). The only plausible star busting incident in-canon is from Bills.
Kurohitsuji can go either way, for the same reason why Cell's statement is considered hyperbole. At this point, Butterflyaizen was making so many misperceptions and incorrect statements that it's hard to take him seriously. Doesn't really matter, as Dangai Ichigo could have broken it before it fully formed or his reiatsu was able to resist whatever magical effect the Kido induced (which is why the shit is considered unquantifiable).
Planet-busting YYH is contradicted by lack of feats. Possible misinterpretation too.