I’m no scientist but consider this…
I read your assumption as, heavy metals would be pulled to the center because of their weight. I am assuming that the center of the earth is neutral, as gravity is not created by the center but the whole earth mass. At the center an object would be pulled in all directions and therefore exert the equal and opposite force (weight) in all directions and would appear to be weightless.
They are absolutely there. It’s just that the percentage of iron is so much that you may as well just say ‘iron core’.
Also, we don’t know for certain the exact makeup of the core since we can’t actually go there and take samples. Instead we need to infer by measuring things like seismic waves, studying what comes out of volcanos, figuring out what could cause effects like the the magnetic field and so on.
One of the things that geologists have to guess on are the compounds deep inside the earth. At the extremes of temperature and pressure found deep down, it allows compounds to form that would never be found at surface conditions.
There is a lot of gold and platinum and other heavy rare metals in the core, too. In fact, all the heavy metals that were on the earth when it first formed are there. The gold we can find now was deposited on earth later. A lot came from when a mars-sized planetoid crashed into earth and blasted a bunch of material off, some of which formed the moon. More was deposited by other meteors. In those days there were a lot more rocks flying around so there were a lot more impacts.
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