This thermophotovoltaic cell is tuned to operate with radiant energy from a body heated to between 1900 and 2400 degrees Celsius. That is much hotter than any current reactor core. It wouldn't work with a traditional nuclear plant; it would require (at a minimum) developing reactors that operate at a much higher temperature. The most common power reactor design, the pressurized light water reactor, heats water to around 315 degrees Celsius:
I think the problem isn't that we can't achieve 2000 degrees with fission, but the entire design would need to be re-thought to handle such temperatures.
You need a completely different sort of materials and need to consider new types of risks for a reactor that's supposed to operate at such temperatures.
Most semiconductors don't like ionizing radiation. In addition, the bottom-end of the operating range for this (1900C) is well above what google suggests is the typical coolant temperature (300C).