It's pretty much a crap shoot if a non-approved card will work within SolidWorks. I work at a place where we run Siemens NX instead of SolidWorks and we exclusively use Quadro cards. The card you picked out is a desktop card, not a workstation class card. Also, most of the CAD houses I've seen(Boeing, Lockheed) run on NVIDIA hardware, not AMD. Not sure why, but it's worth mentioning.
What many people don't realize is that the workstation class cards that some of these 3d modeling software call for contain extra logic specifically for CAD work. The difference physically between the desktop/workstation versions are slim, the workstation cards simply contain more OpenGL commands. That is what you are paying for when you get a workstation card at x2 the price of the desktop version.