Heat pumps don’t solve switching away from gas.

If you don't put in heat pumps, nuclear reactors are one of the more expensive ways to heat a home.

If you do put in heat pumps, nuclear reactors are still one of the more expensive ways to heat a home, but you need a third as many of them as compared to the no-heat-pumps case, if you insist on heating only with nuclear power.

Nuclear power is really only important if you also want spicy atoms, because it's by far the cheapest source of spicy atoms. Annoyingly, this is now a thing a lot of countries have a solid reason to want.

They solve a large part: heating. They don’t solve gas as an industrial feedstock, but you need a lot fewer pipes for that use case.