I'd argue that trying to be most trustworthy to untrustworthy people is often a way to get screwed even harder. On that project, since I was the most productive people who showed regular progress meant that the project manager rode me to get more stuff done rather than fixing the broken parts of the team. I was forced to pick up dropped balls constantly.
Identifying the untrustworthy people is super easy and doesn't help. It takes a only a few weeks to see that someone isn't putting the effort in. If you're on a project with that person, you're often stuck with it with no recourse if the organization and managers aren't willing to do something.