A couple of meters long steel rod with a dissipator on the end can easily keep electronics at Earth surface temperatures even if you heat the other end to 1000°C.
An issue with any high temperature process is things start evaporating. This is part of why carbothermal reduction of aluminum oxide doesn't work: at the required temperature aluminum oxide is volatile.
(There are thermochemical water splitting technologies that exploit partially reducing transition or rare earth oxides at high temperature, then reacting them with steam at a bit lower temperature to make hydrogen. I believe cerium oxides are the current best approach there, although still not competitive.)
But how do you get the power to the heater in a compact way?
I believe high Tc superconductors have been used (or at least proposed to be used) as current leads for carrying current into low Tc superconductors from somewhat higher temperature normal conductors.