High-level robotic manipulation tasks demand flexible 6-DoF grasp estimation to serve as a basic function. Previous approaches either directly generate grasps from point-cloud data, suffering from challenges with small objects and sensor noise, or infer 3D information from RGB images, which introduces expensive annotation requirements and discretization issues. Recent methods mitigate some challenges by retaining a 2D representation to estimate grasp keypoints and applying Perspective-n-Point (PnP) algorithms to compute 6-DoF poses. However, these methods are limited by their non-differentiable nature and reliance solely on 2D supervision, which hinders the full exploitation of rich 3D information. In this work, we present KGN-Pro, a novel grasping network that preserves the efficiency and fine-grained object grasping of previous KGNs while integrating direct 3D optimization through probabilistic PnP layers. KGN-Pro encodes paired RGB-D images to generate Keypoint Map, and further outputs a 2D confidence map to weight keypoint contributions during re-projection error minimization. By modeling the weighted sum of squared re-projection errors probabilistically, the network effectively transmits 3D supervision to its 2D keypoint predictions, enabling end-to-end learning. Experiments on both simulated and real-world platforms demonstrate that KGN-Pro outperforms existing methods in terms of grasp cover rate and success rate.