Hello.
As a previous applicant, I feel it is very important that I have my input. I believe the school which you apply for is very very important and has a great effect on your application. Without naming the schools involved, a close friend of mine applied for one of the schools initially in the first few days and was rejected and submitted the same application 2 weeks later to a different school via a different email address etc and was invited to the assessment stage and made it to the final stage of the whole settlement. Therefore, there is no way that British Airways screen the applications. The flight training School does.