Lately, my Prime deliveries have been sent via UPS Mail Innovations, which relies on the USPS for last mile delivery. This inevitably turns 2-day delivery into 1 week plus delivery, due to the USPS's incompetence where I live. Complaints to Amazon result in a free one month extension of Prime benefits, but they can't stop the service from being chosen on future orders.
Unless this changes soon, I am likely to let my Prime membership expire, as it has become useless to me because it is no longer reliable. Any attempt to raise the fee while still using USPS for last mile delivery will be met absolutely with cancellation.
That said, if they raised the fee and promised to use only reliable (e.g., UPS, FedEx, hell, even Lasership/OnTrac), I'd take the deal.