You sound like you know this to be actual fact. I would have thought that cushioning the blow would have greatly increased the chances of the jumper surviving.
If you're prepared to offer your body as a landing point, then maybe, just maybe, the other person might possibly be able to survive by using your body as a crumple zone. However, they would have to land precisely on you, with their skull impacting on a part of your body that would best serve as a crumple zone. Your ribcage, I think. Of course, that would mean that their legs would be smashed to bits on the ground as there wouldn't be any of your body to be a crumple zone for them.
It would greatly increase the chances of there being two corpses rather than one.
It's basic physics. A falling adult has far too much kinetic energy. No way, now way at all, could anyone provide enough force to decelerate them to close enough to rest within a couple of feet.
A person who has fallen from the top of the seventh floor (as the newspaper reported) would be travelling at roughly 40 mph about 2 seconds later when they reach the ground. About 18 metres per second, in standard units.
You can't reduce that to close enough to zero by catching them. You'd have maybe 1.5m to do it, and most of that would be in an awkward position with only a fraction of your strength available for use. That means you'd have maybe 0.08 seconds to decelerate them from 40mph. A 60Kg mass decelerated from 40mph in 0.08s in 1.5m by the strength of one human? No way, not even close, not a chance. That's with generous assumptions regarding the distance and therefore time available.
Consider a cricket ball to give some idea of the forces involved. A cricket ball has a mass of about 0.15Kg. To have the same kinetic energy as a 60Kg person at 40mph, a cricket ball would have to be travelling in excess of 800mph.
There's just too much kinetic energy, far too much.