Primarily, remote control from one PC to another. I’ve got a desktop connected to my speakers but when working from home I want to use my work laptop to control the speakers. Tidal has a version of it that can control media streamer devices, but it is unreliable.
10 and 12mm long are the standard screw sizes and you arent likely to find anything off the shelf between it.
Seems like a weird spec, +/-0.5mm is a pretty typical screw length tolerance so the standard 12mmL screw would be within the range I would expect, maybe give that a try.