Collect data at this stage too to be sure that the new process is better than the old one. When you are satisfied with the results, implement your solution permanently in all areas where it is relevant. Whether the experiment works or not, go through the PDCA cycle again for continuous improvement. Quality requires not just the detection of defects, but also their prevention. It requires elimination of unnecessary steps and assurance of appropriate procedures.
All work is a process.
The details of organizational processes are important because they are the substance of organizational work that ultimately produces the results. If the details are wrong, the process is wrong. If the process is wrong, the results are wrong. Quality requires attention to detail. You cannot improve a process without data.