This may sound crazy, but I'm OK with a request falling through the cracks if it was not important enough for the requester to follow up with me.
The most effective PMs I've worked under had a heavy filter on incoming requests, at least for established products, with "No" being the default answer. If multiple people started asking for the same thing multiple times, clearly it was important. But if you say yes to every little things that comes in via any channel, you end up with a complex, cluttered product.
I feel that a product like this is better applied to a customer services/support team, where you really do want to make sure every little complaint is addressed properly.
The most effective PMs I've worked under had a heavy filter on incoming requests, at least for established products, with "No" being the default answer. If multiple people started asking for the same thing multiple times, clearly it was important. But if you say yes to every little things that comes in via any channel, you end up with a complex, cluttered product.
I feel that a product like this is better applied to a customer services/support team, where you really do want to make sure every little complaint is addressed properly.