Collisions with submarines making holes above the waterline, bombs blowing the bow doors off but still being observed inside the wreck, nuclear waste dissolving the bow, trucks full of drugs being pushed off the ship by the Mafia, doors being opened to let out cigarette smoke, the senior crew being disappeared, helicopter crew being compensated with medals to keep them quiet about the cover-up, the captain being shot, retrieval of sooper-seecrit briefcases, Brian Braidwood "famously" defusing the bomb on the Rainbow Warrior, Bill Clinton ordering the smuggling of Soviet-era military hardware in order to appear as a "Middle East Peacemaker extraordinaire"...
There's a lot for them to be skeptical about.