It's what you pay for...In the two Co's I've flown the 320(10years)they only bought the performance charts for Flap !+f,and flaps3 for the 'short' runways..Flaps 2 was an option that ,I gather,few operators requested.The 340 on the other hand seemed to utilize flap2 as a norm for the Max weight of the usual runways situ..
On the 320 if one really pushed,use flap3/toga thrust/packs off.This got the most weight of the runway in compliance with the approved analysis charts(distant obstacle clearance)