I did not notice much difference between the H3DII-50 (the one I am considering parting with) and the H4D-50 in that respect. I will test wether that H4D-50 has the latest firmware and report back tomorrow.
I tried a direct comparison today (the two cameras have the latest firmware on). I duplicated a card, so that the two cameras show the same picture. The new screen is indeed a bit better, I'll join a picture to this message. The H4D is also noticeably faster to zoom in.
The new screen is better, but the difference is not like day and night. Besides, the screens (either one) are almost impossible to see outside under the sun.
As to the "focus check" function, you will not be able to use it: you need to press a button on the camera (not on the back). Even on the camera, the function does not appear very useful to me:
-you need to assign a key to it (and therefore lose another function like mirror up, ae lock, etc...)
-it only works right after having taken a picture, not afterwards (or I don't know how...)
-it zooms on the center of the screen (not on the true focus location, I believe this is H5D only) and you cannot move around (or I did not find how...).
I think I will simply continue my practice to press the zoom rocker a few times to check the focus. It is almost as fast and then I can move around.
Something else which you may not know: H backs have a kind of live view mode when tethered to allow focussing. It is probably the best choice when using them on a technical camera.