I would say that a kanban board is not synonymous with scrum. In this workflow, the tasks are a way of organising task threads and recording the consideration, decisions and actions taken while working with an AI agent.
I mean, this is a task board and not a Kanban board - Kanban implies things like Work In Progress limits, continuous improvement, and measuring flow to get rid of blockers.
But you're right - you can visualize your workflow without using Kanban - I think it's weird how the term gets appropriated here.
Kanban boards are fine. But if you load them down with the rules and elaborations they become part of a travesty of agility. Kanban originated as a lightweight shop floor MRP technique. It was meant to be run by the people making stuff.