absence makes the heart grow fonder vs when the cat's away the mice will play

absence makes the heart grow fonder

proverb
  • When someone or something is far away, one realizes how much one loves or misses them or it. 

when the cat's away the mice will play

proverb
  • In the absence of a controlling entity, subordinates will take advantage of circumstances. 

How often have the words absence makes the heart grow fonder and when the cat's away the mice will play occurred in a corpus of books? (source: Google Ngram Viewer )