Dude, maybe read the full articles from Wikipedia?
1) Load-following is a problem for old reactors. Many reactors we have still fall into that category. Even if they can be operated like that, it dramatically increases wear&tear. There is a reason why France prefers to sell electricity at huge discounts to Italy.
2) The cost of enriched Uranium for a nuclear power plant is much less than 1ct/kWh. That's dirt cheap. Compared to that, coal is around 3-6ct/kWh.
3) A cold start of a coal power plant typically takes around 2 days. The flexibility of a coal plant is a direct result of the heat capacity of the boiler. It's fast to turn off the turbine, but it takes ages for the boiler to stop consuming fuel. Notice the difference?
4+5) It's almost painful to see how wrong you are. The first level is the basic frequency stabilization. This can be done by batteries (as they are fast enough), but mostly depends on inertia of turbines. The second level is the primary regulation. This can take up to 30s and can be done both by active control of turbines but also breaking of wind turbines, software-controlled phasing out of photovoltaic etc.The third level is the secondary regulation and involves typically gas power plants or pumped hydro. This can take up to 5min to prepare. I'll leave out the rest.
5) No, starting a turbine and generator doesn't happen in 10s. Try more like 30s to a minute. Which is ages for electricity.
6) Most bigger gas power plants are combined gas and steam engines. A quick start from cold takes over 30min for those. They are preferred for the higher efficiency if they are not planned for secondary reserve. Pure gas turbines as used in standby generators still require a minute or more when not idle. Those are much less efficient.
Yes, much of power regulation is not surprising and planned. Which is why power plants can start up in advance. But that is also not free. Funny, I'm dealing with the people that maintain the grid as hobby...