I like the aspect of preparing for a hunt very much. Alone that I can go out into the wild just to gather materials for potions and traps to be prepared for mynext quest is something cool. It makes me feel like a real hunter, not some action hero. I am not convinced by the demo, that this aspect is back. But that is normal, the demos were always just some quests, all the surroundings are not visible.
My MonHun I like the most is Tri (for Wii) or it's HD variant on WiiU. The reason is, that Tri had a mode without time limit. I could just go out and gather materials or try out new weapons without much pressure. After I defeated big monsters in quests they could appear in this mode, which gave a nice chance ot get some more of the rare materials. That mode was nice, I doubt it or something similar will come back, but I still hope.
As you I liked the new mobility very much. Not only with the wirebug, also the palamute helps here very much. Fast traversing a level is extremely helpful and the movement feels so great and enjoyable, I probably roam each new area for some time at first, just for the fun of it.