No, Nvidia supports all freesync monitors over DisplayPort, they are however not promising that every monitor will work correctly and therefore only the certified ones will automatically have variable refresh rate enabled when the graphics driver detect them.
The driver isn't out till next week so we don't know how good their implementation is in practice, but at least according to Nvidia themselves the non certified monitors excibited the same problematic behavior running with AMD hardware.
I know they support the monitors themselves, but it's still super selective.
See:
"The trouble is, Nvidia told me, that only 12 of 400 monitors have passed its stringent checklist so far, which range from having the correct settings enabled in the screen's OSD menu as standard to not suffering from the above visual issues."
The 12 monitors that have passed the test so far are:
- Acer XFA240, Acer XZ321Q, Acer XG270HU, Acer XV273K
- Agon AG241QG4
- AOC G2590FX
- Asus MG278Q, Asus XG248, Asus VG258Q, Asus XG258, Asus VG278Q
- BenQ Xl2740
"G-Sync will likely work on any FreeSync monitor, but some of the problems I saw first hand at Nvidia's booth at CES mean that while it works, it would be quite unpleasant to use. Nvidia pointed the finger at FreeSync, claiming it lacked the high standards of G-Sync, but ultimately the issue rests with monitor manufacturers. Clearly, having a monitor that is both FreeSync and G-Sync certified would be much more attractive, so monitor manufacturers are undoubtedly working with Nvidia closely to solve these issues with future models. "
Still in my opinion is NVIDIA being nvidia and understanding that leveraging the tech and not requiring sun-standards like they seem to do with G-Sync is why there are far more models out there that support Freesync than G-Sync and far more sales for those because of difference in cost.