A plane with zero forward airspeed still cannot drop out of the sky at any high speed.
What would you define as "any high speed"? assuming you mean a high rate of descent- for argument's sake, let's call "high" any VS above normal approach descent rate for the airplane in question, or perhaps Vbg.
If you stall any aircraft,
any aircraft, and it remains stalled all the way to the ground, somehow miraculously not rolling over, spinning, tailsliding, etc.... it will come down at a much higher rate of speed, vertically, than one would like. High enough to kill you, in most cases.
"Parachuting" is not a very accurate term at all for describing how a flat plane descends when not flying... a round parachuting canopy collects air in a very particular way, and an airfoil-type canopy is actually a low-aspect-ratio type of wing.
Can someone explain what really changes about the airfoil behaviour if you compare non-vertical parachuting (in "stalled" AoA) with flying "at the back of the power curve", at AoA slightly below "stall"?
For what it's worth, "non-vertical parachuting" is really getting off-track... a stalled wing is not doing much of anything except falling, just as a barn door, desk chair, or goldfish bowl might fall. It may have a ballistic trajectory, having been moving forward prior to the stall, but again, that has nothing to do with parachutes.
Trying still to answer this last question: You've sort of answered your own question...
The airfoil behavior depends on airspeed and angle of attack. In the "back of the power curve" scenario you mention, the clue as to why the plane still won't climb is in the word "power".
Without sufficient thrust, once the airspeed gets low enough, even though the A of A is sufficient to prevent a stall by producing
some lift, there is not
enough lift for the plane to climb, or even keep from descending. It's all too easy to get into this pickle in any airplane: all you have to do is climb at full power while increasing your A of A almost to the point where it will stall the wing at any airspeed. i guarantee that no matter what airplane it is, no matter how much thrust it has, or what it's service ceiling is... if you climb at full power and hold the pitch at the edge of where it will stall as your airspeed decreases,
the airplane will begin to descend before the stall occurs. If you do it just right, you will come down nose-high and quite rapidly, maybe showing airspeed on your indicator, maybe not.
It will not be stalled, but because you already have max power, it will not climb unless you lower the nose to get some more airspeed.
Obviously, what normally happens in this sort of vertical-climb scenario is that the plane stalls... but my case in point is basically academic. A more common illustration of the "stalled but not stalled" or "death mush" thing would be any of a number of cases where stall-proof aircraft, like the ercoupe wirth its limited elevator travel, have carried careless pilots to their back-breaking doom when they let it get "behind the power curve".
In other words, in a "supermush" or whatever you want to call it, the wing behaves much as it would during a normal descent, only with A of A, airspeed and power in a different ratio than in a normal descent.