Navigation options—ArcGIS Pro | Documentation
Use ArcGIS Pro with a keyboard—ArcGIS Pro | Documentation
There a no mouse devices listed in requirements. If the mouse can be programmed, particularly to keyboard shortcuts, then have a look at the above. (there are more shortcuts, the above is just a sample
An "Idea" exists for this mouse as well
ArcGIS Pro Image Analyst: Support for Stealth Mous... - Esri Community
with some support but none indicated whether it worked or not
Other than the joystick it is kind of fluff. 3D Application in ArcGIS are designed to work with typical mice.
I don't see any reason why it would not work. My gaming mouse has more buttons and works just fine. Though I don't bother to program them for GIS as I program instead the keyboard shortcuts
The Stealth Mouse and Soft Mouse are supported in ArcGIS Pro 3.2. These are great news! I really like the GUI to assign functions to the buttons of the 3D mice. Enhancement requests: