OK - I'll bite.
Not being accepted for integrated has got nothing to do with the decision for most people. For many people who are working they cannot take 12-18 months off unpaid to undertake an integrated course. Modular courses are more flexible and, of course, much cheaper so you can pick and choose when to do each element. Furthermore, the ability to select a school for each licence and rating means that you can shop around a bit more rather than be stuck with Cabair or OATS.
There are some quite excellent modular schools around who will provide a very high standard of training at a fraction of the price of an integrated course.