I have a business project board that has the Published column. We have a bunch of test projects that I would first like to remove. I would also be able to control what shows in that Published Column so it doesn't get bogged down.
Business boards are very simple, they map each column as one status in your workflow.
If you don't want issues to appear in the published column, you have two options
1. If the published column is the last column on the board, wait a fortnight and the issues will drop off
2. Don't put issues in the published status
For more powerful boards, you'll need to move to Jira Software.