It would be beneficial for a team to filter their "All Lists" page on the mobile app to certain list templates - this would help narrow down lists to people responsible for certain tasks at a more granular level than the Role access settings.

Such a filter could also include a due date range filter and lists assigned to specific people, and could also be applied to "My Lists" and "Manage Lists."

An extra 'feature' that could be baked in here is the ability to have this filter be perpetual at the device level - so that the filter doesn't reset automatically / when the app is closed/reopened, and can only be reset by tapping a dedicated button within the filter menu.