The Nvidia Quattro and AMD Firepro series graphics cards are aimed ad traditional CAD and DCC (Digital Content Creation) softwares that use Open GL as the graphics API. These usually contain "optimized" and "certified" Open GL drivers and these drivers are the difference you are paying for compared to a gaming graphics card with the same hardware.
The Quattro and Firepro cards do use the same hardware/chips as the gaming cards.
Unless you need certified Open GL drivers for another application I would not buy one of these but a gaming card will do likely better.
Fusion 360 used the DirectX API that is likely to work smoother on gaming graphics cards than on these "pro" graphics cards.
As gaming on Windows exlusively uses DirectX the drivers are also are optimized to use it.
That also helps explaining why Phil's home computer performs better then the work computers wth these "pro" graphics cards.
On the Mac platform Fusion 360 unfortunately uses OpenGL.