Yes, there is no indication of it in the arcane page at all, yet the health still goes up. Rather annoying if you ask me! I've tried to figure out how to have that displayed from the very begining but the functionality of xhp per y monsters in z range never seems to display.

Nor many many other regeneration effects

I could swear I remember it working a while ago... I don't know if I was specific enough or not, so to clarify;
Not only does it not display in the Stats page, but, the rough calculations I made while playing both classes mentioned above, it certainly seemed like the regen wasn't being factored at all.
With that being said, do you mean that the engine itself doesn't calculate it properly, or simply that it doesn't display it properly?