This might be cool if you are a quasi web-celebrity, but in a business setting it would be downright dangerous. I can't imagine how terrible I would feel if something completely fell through the cracks OR did not receive an adequate response from me. I also can't imagine auto-nagging my boss about ANYTHING.
I guess the biggest problem I would have using this at work is that it is fundamentally based on the idea that people are contacting me about stupid stuff (generally not true) and that I'm way too busy/important to respond directly to somebody (also generally not true).