the removal of the skirting was probably done because you wouldn't see the jumper very well in the shot.
Just a detail.
There were apparently 2 flights (2 loads) according to the Parachutist article.
The fabric on one handrail tore off while spotting over Yosemite (20 mi from DZ) as described in article.
On the long opening sequence, there is no fabric on one rail, and some fabric (most gone) flapping on the second rail.
In the long sequence, once he jumps, you can tell it shifts to the point of view of the videographer who jumped before, backwards (as shown in the photo) ...that's the jump that has no fabric on either rail.
So i'm guessing they did one jump for the long sequence filmed from the lear jet.
then another jump (same day? or different day) with the videographer jumping off backwards first, to get the POV show we have the still of.
There's no shot in the movie sequence that shows absolutely no fabric left. that's only in the Parachutist article pic.
my guess is they lost fabric on the first jump, flew back, picked up jumpers (maybe 2nd day) and removed the ragged fabric that was remaining, so that it was clean.
I don't think "no fabric" was planned. They probably had to pay for the damage they caused. ($60,000 cost per flight per the article..maybe they didn't get charged)
Surprisingly, they repainted the plane with the NPA livery just for the shot.
wikipedia has a good history of the movie. No one involved like the result, it had got bumped around to different director/script writer.