For profit post secondary schools have a very poor reputation for delivering quality education. They are saddled by their fiduciary responsibility to shareholders to deliver profits that creates a severe conflict of interest. The VA is looking at them since many like phoenix, prey on veterans who, as much as I hate to say it, don't really have the preparation to perform in a rigorous college environment. The schools accept anyone who has va benefits or can get a government loan. Their default rate is astronomical compared to traditional not for profit schools that require enrollees to have at least some minimal qualifications and a chance to succeed.
When I am going through resumes in the final stages of the hiring process, if one makes it to me with a for profit "university" degree like phoenix or ITT, I toss them with no further consideration. Sounds cold but that's the way it is.
That being said, I don't know about Le Cordon Bleu or the other culinary schools, the guys that are industry professionals can comment on the qualifications of the graduates but STEM grads from the for profits seldom if ever are even slightly qualified.