IDK trust games are complicated, and I'm not sure I'd do any better in Shaw's place, but I think this is very much a Stupid Monkey film, and that to a large extent, the humans' deaths are the result of a blind faith placed in foreign agents. Think the Captain in Covenant stupidly leaning over the xenomorph egg-sac, despite every nerve-instinct in his body screaming danger at him, because David says it's safe.
There's an over-reliance on authority, on an authority that doesn't have your best interests at heart, that feels symptomatic of modern life in certain ways. Of being a domesticated animal, a dog who trusts his owner because the world's too complicated so he delegates all his reasoning skills, puts his fate in another's hands.
Rem Koolhaas writes (tho he's not always a reliable historical narrator) that when Coney Island burned in the early 1900s, all the circus animals died waited for their trainers to come and direct them, rather than fleeing the flames