Though filling out the project review template is part of the role of the project manager, it is the result of a team effort. Collecting and summarising the feedback of all people involved with the project, or at least the most important stakeholders, make the report much more enriching and valuable.
You could plan a meeting to spend some time discussing the outcome of the project with all the relevant parties. Everyone would then get a chance to describe success, a failure or a possible improvement for more effective projects.
Do you already have a good habit of writing project reviews? Has the insight gathered from this exercise helped you track progress, save resources and get better in subsequent projects? Feel free to share your experience below!