Nvidia WILL use adaptive sync, if they will "support" adaptive sync in general is questionable and arguably the answer will be no.
You really need to know what each part is called and understand what is going on, Nvidia will NOT support freesync, ever.
Most new screens released from now will support adaptive sync and at some point in the not very distant future(12-18 months maybe) every single new screen will have the feature. AMD side you need a driver to actually take advantage of adaptive sync, monitors don't do it automatically. AMD call their driver feature which makes use of adaptive sync freesync, Nvidia can't support freesync, it would be like AMD choosing to support 3dvision, they can't, it's an Nvidia branded piece of software.
So the question people should be asking is will Nvidia support adaptive sync with their own piece of software with whatever name they want to call it, and the answer is, absolutely, and it will simply continue to be called g-sync.
What you have now is g-sync having an expensive chip and an expensive licensing deal making g-sync monitors very expensive. At the very least the extra chip will be gotten rid of and they'll simply add more to the software to enable them to do the same thing over adaptive sync meaning they will in the longer term use exactly the same method AMD do to control the refresh rate on the screen. Where the unknown is, is will Nvidia still charge monitors a licensing fee. IE you might have 20 screens that have the adaptive sync hardware/support, but only two monitors pay Nvidia for g-sync licensing so even though g-sync can work on all 20 monitors, they may disable it for all but 2 of the screens. The same way they do 3dvision and other things they demand a licensing fee for or lock out a feature.
My guess is Nvidia will go the licensing route but as freesync becomes widespread their licensing fee will have to drop drastically and a g-sync screen won't cost much more than a freesync screen. But the reason it's questionable if Nvidia will "support" adaptive sync is that I would consider support for adaptive sync meaning if you buy any adaptive sync screen then g-sync would work with it full stop. If there are licensing fee's and g-sync doesn't work on every adaptive sync screen I don't think you can consider they support it even if they use it on some screens.
I can see a point in the future as well where using adaptive sync becomes a standard thing for everyone to do and that at some point Nvidia will stop charging a licensing fee. Where 3d vision has fancy glasses and is something not many people use when something becomes a bit more fundamental and standard it's harder to justify charging to provide it. Much like Nvidia wouldn't think about and don't charge users to use 120-144hz options, at some point if a feature is standard you can't charge above and beyond for it.
