Apart from the OEI bit, how many other emergencies in your EOP's require a land immediately?
About 4.
And it's about 4
not apart from the OEI bit as well. Nary a one of the land immediately emergencies in my checklist are OEI, and I do fly one of the candidate types for this hypothetical situation.
They're all drivetrain / control or fires.
Which is why deepwater operations without flotation are, in my view, less optimal than having a cup of tea.