cut to the quick vs touch a nerve

cut to the quick

verb
  • To incisively discuss the underlying sensitive or unpleasant root of a given topic. 

  • To hurt a person deeply, especially emotionally. 

touch a nerve

verb
  • To make a remark or perform a deed which produces a strong response, especially an emotional response such as anxiety or annoyance, because it calls to mind something which has been a source of concern or embarrassment. 

How often have the words cut to the quick and touch a nerve occurred in a corpus of books? (source: Google Ngram Viewer )