First and foremost,
to our forum. As the giant squid Architeuthis dux
is (mainly?) a bathypelagic species, it suffers little consequence from bottom trawling, its prey items in turn do not appear to rely on bottom dwelling species, either. Bottom trawling destroys complete ecosystems containing for instance deep water corals that were sometimes centuries in the making and disrupts a balance between species that is entirely fragile. The argument against it is mainly ethical, as is always the case, who would condone wanton destruction of natural beauty for the sake of deep frozen fish fillets. Just because most people will never see it, doesn't mean it isn't there...
Colossal squid, Mesonychoteuthis hamiltoni
, which is also believed to be bathypelagic, we run into more and more often because of commercial longliners moving into antarctic waters going after Chilean seabass a.k.a. Patagonian toothfish: apparently we share a prey item, here, with subadult females of the colossal species. As we'll probably fish toothfish to extinction any day soon, this should solve the problem
The Humboldt, or jumbo flying squid Dosidicus gigas
we see in increasing numbers off the West coast of the US and Canada, for likely reasons of commercial fishing draining the ecosystem of many competing predators. The squids' ability to maintain a high metabolic rate even under low oxygen conditions, combined with a very fast growth rate, favours their survival in this case over the more slowly responding pool of vertebrate pelagic apex predators.