Although some progress has been made in testing trawls that rise higher off the seafloor to avoid benthic habitats, the use of such techniques are rarely used, and none can avoid "rare" avoid endangered living corals. See: https://www.greenpeace.org/aotearoa/press-release/protected-corals-destroyed-in-six-tonne-bycatch-disaster-from-a-single-bottom-trawl/
Also see the video of trawl bycatch from the National Geographic Society, below.