Hopefully I can clear some things up. The thunderbolt cable won't work for either of these. Mini displayport and thunderbolt do not fully support displayport 1.2 protocols. Eizo has started to include mini displayport. I know it's on the CG275w. I'm not sure of any others, but expect to see it on more going forward. With those they'd include a mini displayport cable. Otherwise call them and ask to order a
PM200 cable or look at their compatibility matrix at the link. The cable is $35 + tax and shipping and negates the use of an adapter. It's just a straight displayport to mini displayport cable with shielding at each end. If you turn the external display on and off, it should be recognized automatically (returns to single screen mode when turned off). Some of the adapters do not work properly. Monoprice and some others also have cables. Reviews are mixed, and I'm not sure whether or not to suggest them. A couple reviews suggested that pins controlling power are incorrect. In the case of NEC, there are random complaints with unknown cables too. I would just suggest google in this case as you turn up a lot of random information where others have tested. What matters is whether their software will work correctly when using the adapter. Most of the time it's fine.
Back to what I said about displayport 1.2. With some Eizo and NEC displays, 10 bit displayport is supported on a per application basis. It will not work on any Mac. The last one that worked was a mac pro with a Quadro 4800 on Leopard. It's unlikely to come back unless such a feature becomes 100% mainstream. On the PC end, it's only supported by a handful of cards, but if you're paying that much for a display, grabbing a Firepro or whatever isn't that big of a deal.
This isn't 100% correct. There are some things that are not supported. Displayport 1.2 and thunderbolt have approximately the same raw bandwidth. Displayport is something like 21Gb/s with part of it absorbed by coding overhead giving you roughly 16. The 10 noted by thunderbolt is splitting off a portion of the bandwidth. Displayport 1.2 is not supported, and there are some things that will not work to date on anything using thunderbolt. The cables are also not backward compatible, although you never suggested that. For most people they may as well be identical, but I bring up these things because it shouldn't be taken literally.