Background
First of all, I’d like to state that I know the entire premise of this question is hypothetical and the life probably quite unlikely to form in the first place at best. Despite that, I’d like answers to critique if this sketch makes sense and any potential problems. Just assume that the miniscule possibility of life forming in the core of a rocky planet is handwaved, so it just happened in this scenario. I also understand that communication with the outside world would be almost impossible, but that simply isn’t important to my story (the other aliens can find them simply enough).
The rocky planet’s core, is basically the same as earth’s. It is majority composed of iron, nickel, and noble metals like gold or cobalt. The planet has an inner and outer core, roughly comprising the same percentage of the planet that earth’s cores do (I only say this because the planet is slightly larger than earth).
The Proposed Sketch
The proposed life forms could use liquid metal as a solvent, and use the heat of the core to produce energy possibly by turning heat into electrical signals using metals that conduct electricity (that no doubt would be common in the core), like some sort of autotroph would do on earth.
I also found this question asking about germanium life, and it suggests that germanium, being a siderophile, might work well as the base of all life in a planetary core like how carbon is on earth. The life could presumably use germanium and metal polymers (which would be more like extremely temperature and pressure-durable metal alloys) as a cell membrane to protect its insides and maintain a fixed temperature and pressure inside the organism.
These organisms would also probably have no need to evolve movement. Some would be sessile on the surface of the inner core while others would move using the convection currents of the outer core.
To conclude, I’d like you to assess if this sketch makes sense and what I should change if anything to make this more plausible.