I agree with Eli. Focusing on the connectedness of lust addiction and parnasa isn't very constructive; it will only make the problem seem larger and scarier. If loss of parnasa is a strong enough deterrent from falling, then I could see the benefit to it, but otherwise, I think you're just psyching yourself out.
Focus on the addiction, not because of the parnasa, but because you really want to get clean and be a healthier person. If it helps your parnasa as well, either through spiritual channels or simply because you are functioning better overall, baruch hashem, it's an added bonus.
Do your best to work on your parnasa separately and through goshmius. Im irtz hashem you will be successful, and the effort will distract you from less productive endeavors. I remember a time for a few months when I was working late into the evenings, and when I got home, I was too tired to be really interested in lust, and my mind was still focused on my work (in a good way, not out of stress).
When you are worried about parnasa, find a constructive way to relieve the stress. For me, I find exercising an effective way both to relieve stress and simultaneously to keep lust at bay.