The ocean is about 11km at its deepest. The Earth has a radius of ~6371km. The deepest part of the ocean is *much* closer to being part of the surface than it is to being part of the core.
In addition, the water in the ocean doesn’t stay put. If you have a pocket of heated water at the bottom of the ocean, it will rise up towards the top (hot things rise), and new cool water will sink down.
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