I agree that converting heat flux (or, uh, temperature gradient? I think I might actually mean temperature gradient) into electrical or mechanical energy reduces the amount of heat flux ( or temperature gradient) of the system.
Reducing the temperature gradient(s) of the system does not reduce the amount of heat in the system. When the temperature gradient decreases, that just means that there isn’t as much variation in the temperatures in the system. The temperatures become more uniform. When the temperatures are uniform, you cannot use the temperature in order to do useful work.
.. I now notice that I missed that you mentioned putting things into orbit?
I misunderstood and thought you meant putting the seebeck stuff in the ocean, as if that would cool down the oceans.
Yeah, if you pump heat into places that you can remove from earth, or have emit black body radiation more effectively, that would help.
But, Unless you are ejecting stuff away from earth, there is still a max rate you can radiate away heat at a given temperature?
Oh, but, hm, if you made your thing in orbit really really hot, hm.
Is that what you were saying?
Sorry for misunderstanding what you meant about the ocean.