If Humboldts are truly an invasive species, then it should be good for the environment to eat them. They seem to like eating a lot of the same fish that humans do, so their invasion provides unwelcome competition. Some folks are thinking it might not be a bad idea to open a commerical fishery for Humboldts, just to reduce their ecological (and economical) impact!
Maybe so--from California northwards. But in Mexico, Central and South America, Humboldts are not invasive. They are a native species, a natural part of the ecosystem. And they are supporting the largest invertebrate fishery in the world, which lands close to a million tons of squid a year.
The same features that make squid weedy--short lifespan, quick reproduction, ecological generalists--also make for good sustainability potential in their fisheries. But that's just potential. No taxon, as far as I can tell, is immune to overfishing, and the less we know about their biology, the riskier the fishing business.
Unfortunately, our biological knowledge of Humboldts is quite limited. One example: we still don't know where to find the enormous numbers of baby squid that must be growing up into eight hundred thousand tons of squid a year.
At the moment, no one is actually worried about overfishing Humboldt squid--it looks like an inexhaustible resource if ever there was one. But there was a time when no one worried about overfishing whales, either.