No. You only see that view if you fall as a result of the cliff crumbling. If you get knocked off then you see the original view from behind/side of character. So in a way there's two views which is kinda cool.

Thus far I've enjoyed all of the shown death traps aside from the Good/Evil beach level with the piranha. I find that one just a little too goofy for my tastes. As a matter of fact, I'd almost say that I'm more excited about the death traps that anything else in the game at this point. However, I do reside in the opinions of more than a few members here who seem to wonder if it will be possible for a death trap to truly end the match instead of just the round (but that's off-topic).
In regards to your post, I agree. I almost thought they'd changed the angle entirely until it switched to the 'spike-vision' we'd all seen 'til that point. I find it to be a nice addition and a bit of nostalgia for the good old days of Mortal Kombat.