I think that this thread is a good example of why there is so much confusion over Airbus limits/performance/tech spec etc etc.
There are now so many different variants of the Airbus A320 family that comparison between any two is almost pointless.
The OP specifically referred to the A320 ( did they mean that one particular aircraft or the narrowbody family in general? who knows, except the OP?).
We have now had input from drivers of the A318 through to A340-600, the only technical similarity between which is that they begin with the letter A!
My para 1 reply is clearly a little ambiguous as somehow shortfuel seems to think that I believe an overweight landing is a NORMAL operation.
Reread it again shortfuel and you''ll see that I am trying to simplify the myriad of weight limits (certified,recommended,demonstated,nav charge weight limit,particular airport PCN limit etc) to NORMAL ops or ABNORMAL ops.
Incidentally in the sim (what level?

) the aircraft carries out beautiful autolands way above MLM and well outside crosswind limits flap 3 or full.