The solution I had configured is:
MMB+Click Drag to Rotate View
MMB+Click for Center View to Mouse
By the way, FreeCAD has navigation style named “Blender”, which behaves exactly like this)
When tried, I didnt succeed to replicate such behaviour in Blender though.
I think it doesnot fit the defaults really well, because require quite precise motorics to avoid accidental clicks, but it is nice to have the ability to set it up like that.
Speaking of a trackball (mentioned in the documentation link), there was an idea discussion to enhance turntable to bring trackball flexibility with a better rolling solution while keeping turntable advantages such as clarity.
A link if is interesting: