The original poster in the thread was suggesting that if power usage were low enough, it could be powered by the power provided by the NFC in the phone; where the phone provides power for an NFC circuit that is entirely unpowered. If you could power an eink display that way, you could have a completely unpowered frame, which you could set via NFC.
So yes, of course NFC can be isolated from the displays power usage, the originator of this thread was just suggesting it would be neat if you could power it via NFC.
But NFC doesn't provide nearly enough power, nor likely enough bandwidth to do that in a reasonable amount of time.