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Personally, I wouldn't choose a school based on the ability to network. I would choose it based on quality and cost. There might be a few guys at DC Academy with rich parents and jobs lined up, but most will be regular Joe Blows looking for their first Commercial or CFI job and competing with you for it!
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I agree and disagree with this statement. First, I agree that you're going to be competing with these people initially. No doubt about it; you all will probably have about the same amount of flying time, and the first couple of years through your careers you'll be competing for a small pool of jobs.
But...and I can't stress this enough...the old saying of "it's not what you know, but who you know" is more true than ever in these times. The networking you do in flight school may help you more than you can imagine in the future. You never know where one of your co-students (or instructors, or maintenance guys, etc) are going to end up. Later on in life, they may be at United, or Delta, or American, or Lufthansa, or Qantas, and they'll be someone who can hand carry your resume and recommend you for a job.
I'm not saying any one school is right for any one person...but just remember that aside from your piloting skills, contacts will be the second most important thing you come away with.