You get 100+ qualified applicants for every job. Of course statistics are going to be used to narrow down the pool. If you share a characteristic with others that have a higher than average chance of being problematic, that is going to be a factor of whether or not you get considered for the position. If they do find another qualified candidate without any of those factors, it doesn't matter to them that you are also qualified. If they don't find another one, you're going to get a call anyway.
They simply do not have the time, opportunity, or justification to hold a magnifying glass up to every candidate that applies for a position. It's up to you to ensure that there are no silly reasons for them to discard you out of hand.