If you jump from, say, 20 feet, onto concrete you get hurt. Why? It doesn’t move when you hit it, so you slow down too rapidly & the forces exceed the strength of your bones.
If you jump from, say, 20 feet, into deep water you really can’t get hurt. Why not? The water gives enough when you hit that you decelerate more gradually and so even though the total energy to be absorbed is the same, it’s spread out over enough time that it doesn’t exceed the strength of your bones.
If you jump from, say, 20 feet, onto a matress floating on the water, you’re landing on something which will provide a lot more resistance than the water. Trying to push 30+ square feet of floating stuff under water means the water will push back a lot harder than the couple square feet of cross-section you have alone. In other words, it will give less. And so the deceleration will be more. The surface doesn’t move nearly as much when you hit it, so you’re increasingly likely to get hurt.
Hence, my belief is that for deep water, adding the matress is a net increase in danger. In fact, I’d bet that the max no-injury jump heights for typical jumpers are around 10 feet for concrete, 15 feet for a floating matress, and 60 feet for water. In other words, adding a matress makes the water almost concrete-like.
Now for jumping into shallow water …
You just have to slow down enough to avoid injury when you hit the bottom. You don’t have to slow enough to avoid touching the bottom. For any height below the max safe matress jumping height of 15 feet, a typical pool is already deep enough that jumping directly into the water from there is safe.
As a teen I often jumped off the roof of a 2-story house into a pool. It was 25 to 30 feet from roofline to water surface. Touched bottom a time or two in 6’ of water, but it was far short of producing injury. Had I gone head first it mighta been worse.
My bottom line opinion: using a matress is a Hollywood BS plan that will get people hurt.