Bottom Line: It's not so much about where you train as "who you are".
There are some students who are just so competent and dedicated that they will find employment regardless of how they trained, there are some who will get through but don't really have 'it' and they will struggle.
This is independant of style of training.
FWIW, In my opinion possibly the difference is that integrated normally requires aptitude testing, which whilst definitely not a definitive statement of your ability to work hard and get a job is at least A filter to ensure there's some talent there.