Don't assume things as this is problematic format.
Eizo monitor has HDMI 1.4, so fact that new BM card has 2.0 is not really any guarantee. 12G lists 4K 25p and as you said doesn't mention that it's only SDI, so this is "better".
What is most important is how 4K 25p over HDMI is implemented by BM and is it the same way how Eizo done it.
4K 25p seams to be not in HDMI 1.4 official spec, so maybe thats why it's hit and miss depending how specific company implemented it.
There is really no way to tell for sure if it's going to work or not without a test. It may be absolutely fine like it works with AJA converter. Shame that there is no any other device on Eizo test list for 4K 25p- it would be some hint.
4K 30p 10bit RGB is outside 1.4 HDMI bandwidth, so this is done either using RGB 8bit or 10bit YUV on Eizo monitor (or maybe both knowing Eizo being quite good with what they do). Also don't count on BM side as sometimes even if things are written in product page they actually don't work. It does happen with BM. Here they don't even mention it, so I would not put much of a hope.
Ezio doesn't do those test very often, so possibly.
I can only tell you that Apantac converter works with this Eizo monitor as one of the BM forum users has such a setup, so it has been validated. There also seems to be no other 4xSDI to DP 1.2 converter on the market and definitely no 6G or 12G SDI one, which is shame.
You can always buy and test- if not good return. Eizo may be even happy to do a test if you "rent them BM card".
Maybe you should wait for Eizo new baby:
http://www.eizoglobal.com/products/colo ... index.htmlwhich seems to have HDMI 2.0.