it is disturbing that they put newbies out to big centers like NYTracon and the like. But if they're trained well there should be no problem.
The issue is that developmentals are only given a limited amount of hours for on the job training at each position, then they MUST certify. Some people just don't have the ability to consistently work airplanes throughout every situation that arises in that amount of time. It's like saying that you have to pass your private pilot check ride in 60 hours; if you don't, you can't keep training anymore. It's probable for most people in a Cessna 172 (Level 5 facility), but nearly impossible in a Boeing 747 (Level 12 facility).
I would highly recommend turning down a job offer for any facility that is an ATC-9 level or higher if you don't have prior ATC experience. Lately, the FAA has been allowing new hires to turn down several offers. A majority of new hires have a reasonable chance of becoming certified at an ATC-8 facility or lower.
Start smaller, succeed in training, then move up to a bigger, more complex facility . . . or go to a level 11 or 12 facility and wash out in the first 6 months (or less).