Enable multiple Statuses in Scrum Backlog

Goal

The goal is that I would like to have full control over the issue statuses appear on the Scrum board and the issues appear in the first "To Do" column of the Scrum board.

Therefore, I would like to be able to hide statuses from a Scrum board and only see issues corresponding to those statuses in the backlog similar to the Kanban backlog column. Advanced roadmaps based on such a Scrum board should still be able to pick up these issues!

Example

In the example below the goal would be to display issues in the first To Do column which are in the Specified status. However, Specified is not the first status in the workflow. Currently there is no proper way to hide issues from the Scrum board in statuses prior the one assigned to the To Do column. If one doesn't want to show issue statuses on a Scrum board (JQL based) and therefore makes these statuses Unmapped on the board the corresponding issues will disappear from the corresponding Backlog and future sprints as well.