How do you relate not getting a number to a failed approach? What if you get a k-close, and don't get her number? Hell, what about a ONS?
Numbers are overrated--at some point, guys here stopped trying to get dates with attractive women, and started a collecting numbers. The flake rate is so much higher with numbers-only closes than with, say, a date-and-number close or an immediate-date close (change of venue), it's not even funny! Ejecting and getting a number is barely better than just ejecting.
I agree with the paradigm shift idea, though. It is a numbers game, after all. (Sorry, bad pun.)