What do you mean by a distributed power grid? Do you mean power generation happening locally? This is already a thing and is growing in the form of Combined Heat and Power. This doesn't get rid of the need for base load, the overall grid will still need balancing and will still have a base load unless you plan to disconnect local grids from each other in which case welcome to Texas...

Money is not the point here (even though nuclear really doesn't cost much per kWh). I'm talking about the need to build a system that will produce more power over it's lifetime than it costs to make. This is still something that is surprisingly close in many cases so any extra bit of inefficiency risks making the overall system pointless.