In the book "Tactical Management in Complexity", there is a segment dedicated to the Conditions of Satisfaction which tend to make clear which are the roles of the team and the stakeholder, and they define the terms under which quality work in done at the company and which are the metrics used. Going through the pages of the PMBOK6, the quality assurance as part of the project management process, relates to this segment of the tactical management. The definition of roles is the element where I see overlapping between TM and PM as concepts, but the possibility to agree upon responsibilities is an additional asset in the TM process. It is a segment in which in Project Quality Assurance we need to put additional attention in describing the roles, not just assigning milestones and tasks to the team members.
The roles definition, and more importantly, the role and responsibility acceptance, are a great value I see in Conditions of Satisfaction in Tactical management, compared to the Quality Assurance process in Project Management.
Photo source: Book "Tactical Management in Complexity"