In the video, Tanja van den Akker, an author of the PRINCE2 V7 Principles chapter, discusses key aspects of the updated PRINCE2 methodology, focusing on the importance of product-oriented outcomes and the value of learning from experience.

She emphasizes that the core focus of PRINCE2 remains on delivering products, as the ultimate goal is to produce outputs that lead to tangible benefits. This approach underlines the necessity of maintaining a clear vision of the project's end products throughout its lifecycle, ensuring that every activity contributes effectively towards achieving these desired outcomes.

Additionally, Tanja highlights the principle of learning from experience, an integral part of the PRINCE2 methodology. This involves not only drawing lessons from past projects but also actively incorporating insights gained during the current project. It includes improving collaboration, enhancing testing procedures, and achieving the right quality standards. This continuous learning process is pivotal in refining project management practices and contributing to the success of current and future projects.