BTW, I don't think LCOE is misleading. It's true that you need to localize it depending on the exact circumstances of a particular place, but it's a pretty reasonable general measurement.
Stability of output is a very important (and valuable) characteristic of a power source, and it is completely ignored in the LCOE calculation.
One major thing going for nuclear is that is has a stable and consistent output. It's great that solar and wind beat all options on a $$ when you ignore time effects. But if stability is important (and many argue it is), then solar and wind rely on masses of storage, overprovisioning, and extensive upgrades to the transmission network, then let's bring those into the discussion and do a fair comparison.