As discussed in the later part of this https://forums.autodesk.com/t5/fusion-360-design-validate/setting-up-your-3dconnexion-3d-mouse-for-f...
It would be good to have a keyboard shortcut for "Set Orbit Center" (which "glues" the orbit center to the mouse pointer till placed) which can be assigned to 3D mouse custom keys or a programmable keyboards.
I even tried to "abuse" the command search feature "s" by use of a rather elaborate macro like "s Set Orbit Center" but "Set Orbit Center" isn't even accessible via search.
So having a dedicated shortcut and adding it to the searchable list would be best.