Supersonic parachutes have a limited number of uses.
Supersonic parachutes designed to deploy at pressures 1/160 of Sea Level even more so.
Historically the big ones are
1) Nuclear weapons deployment from supersonic aircraft
2) Entry to planetary or lunar atmospheres (IE Mars, Titan, Venus, Jupiter).
IIRC the last article I read on the subject was penned by someone at Sandia labs, who don't have a keen interest in planetary exploration. Which may explain the coyness on design.
Exciting idea as Mars atmosphere is so thin you need huge sub sonic 'chutes