i think that's overgeneralizing.
I've met plenty of people who are chill/laid back but also incredibly productive. In fact, the best project manager I've ever had was this dude named Matt. I was an IT contractor working at a large bank that had to replace over 10k windows desktops in under a year or face millions in compliance fines. Matt was the project manager for the entire rollout and I never once saw him visibly stressed. On top of that despite being the top of the totem poll he was always incredibly approachable and remembered everyone's names, even low tier techs like me. The project finished ahead of schedule and he took us all our for 5 star steaks at the end, which he paid for with his own card so we could all get alcohol (some weird contracting rules about full time employees from using the company card to buy contractors alcohol).