all the same vs be it as it may

all the same

adv
  • Anyway; nevertheless; nonetheless. 

  • Used other than figuratively or idiomatically: see all, same. 

adj
  • Making no significant difference. 

be it as it may

adv
  • Even if that is the case; whether that is true or not; nevertheless. 

How often have the words all the same and be it as it may occurred in a corpus of books? (source: Google Ngram Viewer )