You could do this, however, it has no purpose once you are in a dead stop you have absorbed all momentum, so need to roll. The only way I see even remotely being useful would be if you are taking quite a drop and have at least a little bit of forward momentum, or if the landing area is sloped downwards.
Forward momentup helps boatloads.
But the purpose of rolling, even at a dead stop, is to change that downwards force into forward momentum.
Example: I step off a 5 foot wall, with no forward momentum whatsoever, and I land with my upper body leaning forward. Should go straight down, right?
Nope.
My body is leaning forward, so when I land I push my feet forward whilst falling, and my upper body being already leaned forward suddenly doesn't go only down, but down and forward. Creating that small bit of forward momentum, allowing me to roll and cushon my fall even better, even if it's a three foot drop. That means, although less efficient, it still works. Okay?