This automatic behavior would be a time saver, and in no way would impede on the current workflow of editors. If you want to set different bin items to different Labels, you simply wouldn't set a Label to that Bin. Simple, efficient, fast and flexible (i.e. ability to only use it when you want).
Any automatic behaviour, which is not foolproof and, what is more, limits functionality is the right Royal pane, not a time saver.
The video Fuzzy linked isn't even relevant to the FR I'm discussing here.
Really? I thought your intention was based on colour ease of identification assets that fall into specific category in the timeline. However, you seems are struggling for change for the sake of change...