Remember training schools are in business to make money - so anything to get someone to part with their hard earned or borrowed cash will help their bottom line.
To be absolutely frank most operators don't care where you did your training. When I worked in the fixed wing world, regional jet operator, the majority of pilots employed gained their licences through the 'modular' route, despite the rubbish being spouted from a certain training school.
The biggest problem for those with freshly printed licences, is keeping it current. A fair number of people have failed to make it pass the interview stage, because of this - even graduates from integrated schools.