Going to Share my Experience..!! Though it is not about 11 generation Corolla but it is a useful experience. May be it will be helpful to someone else.
I have a Toyota Vitz 2005, import in 2008 and registered in 2008. In 2010, i had a problem that AC air flow became very less though its cooling was still great. I went to a mechanic and showed him my problem that My Car AC airflow is very less.He checked and told me that your whole AC system needs full servicing and in servicing your factory fitted AC gas will be leaked and we need to refill your AC gas again . He told me a roughly bill of Rs 6000/-.
I was not in a favor of leaking AC gas and then refilling it with China made low quality Gas. I said NO to mechanic and went away. From that time onward, i always use AC on full power so that the person sitting on front seats can have ease in Summer.
Yesterday My friend who was facing the same problem in its car AC (having less airflow), asked me to go with him to Toyota Workshop. I went with him and a Guy at Toyota Workshop check his car AC , removed its Car AC filter which was full of dust in it, removed that dust by blowing air and put it back and its Car AC airflow become superb.
I came back to home and straight away check my Vitz AC air filter and it was too blocked with Dust. I replaced it with new one and my Car AC airflow is now as superb as nothing before. I am regretting that why i spend five years with very less AC airflow serving the purpose of cooling to only Front seated persons. 
Moral: Always go to some Good mechanic who knows your car better. Do check your car AC filters and remove dust on regular basis. All toyota dealers are offering free AC checkup. Do avail that offer if your Toyota car is older then a year or Two (Atleast they will blow air on your AC filter and remove dust in it).
