Yes: every dollar spent on this instead of building out solar and wind sets back progress fighting global climate disruption. No matter how clever your nuke is,
solar and wind cost much less.
Wyoming has some of the US's best territory for wind power extraction. Building wind turbines with that money could proceed immediately and be generating power in only months, without interfering at all with the current use of the land, and with no haggling with residents or regulators over safety now or forevermore.
Solar heating of molten salt reservoirs was tried, and failed because it cost more than photovoltaics. Nukes, howsoever innovative, will certainly cost more than solar heating schemes. Also, containing circulating molten salt turned out to be harder than had been expected. I don't know of any reason why containing radioactive molten salt would be easier or cheaper.
A photovoltaic and wind farm driving heat pumps to boil an underground steam reservoir would be overwhelmingly cheaper and easier to get and keep working, requiring no new tech, if the goal is to provide less interruptible power.
There is really no scenario where this project makes economic sense on its own merits. It has to be driven by unexpressed intentions we can only speculate about. In the past, such intentions have typically involved securing public subsidies.