In more than thirty years of developing software and of managing others who do, I can tell you that "this is a pipe dream." This is "wasting time standing in front of a white board, sticky notes in hand, just because someone else said that you should do it." It is also advocating that each "team" (sic ...) member gets to ...
Sounds like Utopia
Unfortunately, this process is unlikely to exist in the real world.
Anyone can add tasks to the board
Looks like all work is internally generated by the team. If this is a product, it will lack a unified vision. It will be worse than design by committee. It can't be Kanban because Kanban is typically for work originating from outside the ...
Looks like something custom, possibly borrowed from, or resembling Kanban.
Kanban has two main principles:
limit work in progress
Anything else falls into how you want to organize things according to other Kanban principles.
From what you mentioned:
one big whiteboard could be a Kanban board (there is some common format for how a Kanban ...
It would help to know the nature of your team's work, and what kind of tickets you work on. Handing over work in progress to a different person works reasonably well if the task is shoveling sand from one heap to another, but not really for intellectual tasks where the majority of the effort is in understanding the problem and finding a solution.
That said, ...