Interesting article. Average price does not tell everything. Electricity is most expensive during peak usage hours. Solar production roughly matches that peak. So it can make profit with higher production costs than nuclear.
Battery prices are falling, but we are very far away from storing enough solar energy for night. Here we need storage for winter. For that hydrogen, perhaps combined with something else could be winner.
Currently we don't need to add storage costs into cost of solar, but this will change when we have enough solar.
Nuclear is not dead yet:
Integrated Molten Salt Reactor passes pre-licensing milestone
Why molten salt reactors are interesting:
Current reactors use water as coolant. For electricity production temperature must be high ~400 C. So pressure of steam is very high. Thin pipe can easily hold high pressure, but wall thickness must increase with diameter to maintain strength. Nuclear reactor is very large. High pressure makes it expensive and dangerous. It also takes lot of energy to pump cooling water into high pressure. In Fukushima water produced hydrogen, which caused explosions. Molten salt can be very hot in atmospheric pressure.
Molten salt reactor can be designed to automatically shut down and cool itself without any energy source or operator action (not even computer).
Perhaps molten salt reactors could be used to burn safely and economically away all long term nuclear waste.