It may not sound logical for inanimate objects to "possess" things but it is being used, e.g. country's resources, va car's bumper.
I think it is more of one object belonging to another.
We need some way of identifying where the crew works, so we use the possessive to indicate they belong with the boat, instead of say a tank or a plane, or someplace else.
We sometimes refer to a crew as 'serving' on a boat, tank, etc. Perhaps that makes it more logical?
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