I'm not aware of any academic research on this off the top of my head, but it must exist, that's probably a better reference than a belief that everything changes if we adjust some numbers. That's a very engineer-oriented approach, but it misses that the current crisis (can we call it that) is social. People have to decide they will not support and/or elect unethical morons who say what they want to hear. Until then, it doesn't matter, and you aren't going to be able to reform the system without getting reformers into it, anyway. If you can do that, why is a massive change needed?
Don't mean to be a complete dick about this, but any supporting evidence would be appreciated. You made a logical leap (more reps = less corruption) which is not at all obvious.