So are you saying capacity factor is not a important question to consider when looking at the cost to generate power?
"How would a nuclear power plant match the intraday consumption variation?" It doesn't because Nuclear power isn't dispatchable and is. setup to run constantly 24x7 which is why it has the highest capacity factor of any method of generating power that doesn't use fossil fuels.
How would a Solar PV or Wind Farm power plant match the intraday consumption variation? It doesn't because PV Solar and Wind farms are not dispatchable either.
Which is why a mixture of power sources is important and that is why without exorbitant costs we cannot switch over to 100% renewable energy. That is also why Nuclear needs to remain a important part of the power mix for the US power grid if we expect to continue to reduce C02 emissions.
So let's stop quoting cost per W for Utility scale power plants when we know that is just one part of the equation for the cost equation for a power plant.
I appreciate and agree with your argument in favour of an energy-mix. As such I hope we can agree that it is misleading to base any discussion on the cost of a single (solar based) power source for 24/7 production.
Capacity factor is useful for multiplying onto the source's nameplate power, for obtaining the actual production, averaged over time, which also allows for determining the cost per unit energy (e.g. the LCOE, the levelised cost of electricity). Apart from this (important) use, the capacity factor unimportant when comparing energy sources.
Solar PV is very useful in the energy-mix because power consumption increases during the day. In sunny places such as southern US states there is actually a direct correlation between solar PV power output and power consumption (due to the widespread use of Air-Conditioning). Solar PV has other advantages, it can be installed directly at the end user, avoiding transmission losses and when coupled with a battery improving supply stability, an issue e.g. in the USA. Also, solar PV gives home owners and brick-and-mortar companies the option to invest capital for a return in reduced energy cost and with that a reduced exposure to risk of increased, future energy cost.
As for the cost of Wind and Solar PV, their price-performance is improving exponentially and with zero marginal cost it really is inevitable that they will beat any power source in the coming decades (I am leaving a door open for the fusion reactor, which is about that far away).
A society not overburdened by lobbyism from the fossile+utility industry can get as close to a 100% renewable energy-mix as it wishes with the following ingredients:
1) Wind farms (with numerical weather prediction for knowing the production ahead of time),
2) Solar PV, residential and utility based, coupled with an extra investment in batteries where there is not the political will to use the grid as battery,
3) Improved HVDC infrastructure that allows for the transport of power over relatively large distances, 500+ km, thus connecting regions with different weather systems (this would also do wonders for the stability of the US grid),
4) Hydro power, which as a dispatchable power source and together with the HVDC transport is useful for matching the power need (this also works for nuclear power, Sweden has for decades covered 90% of its electricity need with nuclear + hydro) - and hydro can double as pumped storage with a 75% efficiency.
You can see in real-time how far the market forces have brought the Nord Pool countries on their way to rid themselves of those terrible fossile fuels (and yes, there is still a significant nuclear component):
The control room
To get entirely rid of the fossile fuels we need BEVs for transportation and heat pumps for heating. I guess airplanes will come last, or maybe they can just use a synthetic fuel made with energy from surplus wind farm production.