No it's not unproductive. It's better and more realistic. What will happen is that your hiring manager goes away after three months because managers are always trying to reorg and hire people beneath them to save their ass. You friend that handed your resume can be fired or quits to go work somewhere else. Suddenly there is no reason that you should have a job at that company and lots of other people are handing resumes to your new manager for people that they are trying to give your job to. Maybe you can stretch it for 9-12 months. It's far better for job security to just have the credentials and background to get a job without going the social route.