About the electrocuted part, he recieved damage because he did not change mode properly according to the tiles he was standing on. There are the regular pinkish(?) tiles that you can be in whatever mode and you will be fine, but you will receive damage on red tiles if you are not in demon mode, and on blue tiles if you are not in angel. This happens within combat when a stripe of tiles moves along the floor but also when he crosses the bridge at a certain point, those tiles are there as well.
Nothing too big, but Berto confirmed that you WILL die if you stand still on the part where the walls close in on you, so it is not a simple sequence to show off and nothing will happen. Besides that, yeah... they have not shown much of the whole "world trying to kill you" thing. I guess they meant that by the enemies themselves, since they are sort of like white blood cells, meaning you can actually think of the enemy as being part of the world attacking you.