When batteries are covering 0% of the need, the marginally added battery cycles many times, so the cost is spread over many kwh produced.
When you add batteries to go from 99.98 to 99.99, the batteries cycle only for that 0.01, so the same cost to build them is spread over a much fewer kwh, making each kwh produced a lot more expensive.
Seasonal storage is madness: you charge once and discharge once per year. Pay 100$/kwh to install it, discharge 20 times (20 years, a 5% payback time, which is a bad investment), and you're paying those kwh a 5$/kwh premium on top of the cost of buying the discharged power. If the battery is instead installed to shift the production from 12.00 to 18.00, it cycles 365 times a year, so in 20 years the premium is 0.01$/kwh.
So nucleare doesn't compete with the first 40% of penetration of renewables and the first 30% of battery, it competes with the last 10%, which is still needed to get to 0.