It's usually used when quoting an original statement that's doubtful or knowingly incorrect

I don't know which term would be more appropriate to use, probably "pun intended"

"The Latin adverb sic ("thus"; "just as"; in full: sic erat scriptum, "thus was it written")[1] inserted after a quoted word or passage, indicates that the quoted matter has been transcribed exactly as found in the source text, complete with any erroneous or archaic spelling, surprising assertion, faulty reasoning, or other matter that might otherwise be taken as an error of transcription." (sic)