I had vertical sync on, which would explain the frame-rate shown in that video.
I tried turning VSync off, as well as rebuilding the 3DCOAT directory as suggested here and neither resolved the issue.
I have uninstalled/reinstalled 3DCoat 2021/2022 a few times on this PC across the last year or two, wiping all traces of 3DC including the 3DCOAT folder in Documents. At no point did this resolve the issue for me.
Peculiarly, this issue does not occur in the Retopo, UV or Paint rooms. The 3DMouse movement is perfectly smooth in those rooms, the issue shown in the video only occurs in the Sculpting room.