You probably don't need to uninstall and reinstall, but I would do so anyway. When you make one of these universal installers, it's usually done by looking up the hardware, then installing a bunch of stuff and setting various configuration settings based on the hardware. e.g. video card model F431H supports features w, x, and y, but not z. So turn on w, x, y, but leave z off.
There's usually a software emulation backup layer as well, to cover for missing features in certain cards. So the new card will still work with the old drivers, but it may be doing certain operations in software instead of with hardware on the new card, because your old card lacked that hardware and your drivers are set up not to even try to use that hardware and use software emulation instead.