I can get to the display setting where I can re-order displays:
But is it possible to actually re-number them as well?
The reason simply re-ordering doesn't fit my use case, is because other applications, like Skype, will use the original numbers and locations, which leads to some counterintuitive selections
All of these threads just suggest using display settings to shuffle monitors around:
Best Answer
The numbering for monitors identity depends on which port of your computer's graphics card the monitor is plugged into. For example, the port that monitor #1 is connected-to will always be #1.
The only solution for changing identities is to swap the monitors, meaning connect them to different ports.