Well no, because they are employees / contractors of the film studio, who presumably claim all copyright of what they captured.
However, the camera operators likely do own the pictures they take with their own cameras on-set, provided the contract they are working under allows for such ownership
Perhaps the people who do photography and filming for a business have thought of it. So, yes, but there are of course multiple ways to work with a team (or in a team of two - not to be the one pressing the shutter and still being the one owning the copyright.)
no, because Hollywood in 100 years has already evolved through every possible lying weasel lawsuit you or others here could imagine.. and yet humans continue to dream, write, paint and act. Single-line gotcha's are not new, hold no weight, produce very little that is constructive IMHO
Multi-trillion dollar class action lawsuit here we come...