Both the E-84 and 88 would make great teaching/training/exam skis which by definition need to be capable of everything mentioned above. The 15-16 Experience 84 and 88 were pretty different from each other and neither very good skis (not torsionally stiff enough, and in the case of the 88, a very weird almost 'hinge' in the flex about 10" in front of the binding toe piece. The old 84 had performance limitations across the board compared to the new. The HD's have a slightly less flared tip than the earlier models (less hooky off piste), and the added torsional rigidity makes for much better edge grip. The current 84/88 now share the same layup and construction with the 84 having a bit more sidecut if I recall correctly.
I skied the 84 HD for the first time last month at an industry demo in wildly variable conditions and thought they were a blast! Much better than similar offerings from many other manufactures. Quick, responsive, fun, tracked very well though boot top crud, 6" of wind effected new snow on top of a firm base, and very confident on weird skier compacted non-isothermic grabby hard pan. Personally, I liked the 84 better than the 88. FWIW, I'm about 205#, PSIA L3, combo of finesse and power, 5'11"... Demoed the 178. Most of my ski days are on a 184 Head Monster 88 and 180 iSpeed Pro.
New Monster 88... It will be a better ski for the majority of skiers at 10% softer. I don't know if I buy the 'more tip and tail rise" line. It appears to a small alteration at best. I love the current version and will eventually ski the new one. By the end of next season when my current ones are shot, the new one will feel like a vast improvement.