Earlier quoted context omitted.
My answer applies to both cases actually. For example, if one wanted to maximize profits, energy wise, there are better options than wind turbines and batteries. The choice to go with wind seems politically motivated due to optics of the alternatives.
Maybe 20 years ago. On-shore wind and solar are currently the cheapest practical way to make electricity based on LCOE. https://www.eia.gov/outlooks/aeo/electricity_generation/pdf/...
So the natural gas facility is not generating very much most of the year, but still needs quite a bit of people with the expertise to keep it operational despite that in addition to land lease costs, equipment maintenance etc. Does LCOE turn the cost of the natural gas facility cost into $0 during those situations to be fair?
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Edit: Just glanced at the Wikipedia article and the variables involved in the LCOE equation. Seems to unfairly benefit wind and solar.
"One of the most important potential limitations of LCOE is that it may not control for time effects associated with matching electricity production to demand."
"In particular, if the costs of matching grid energy storage are not included in projects for variable renewable energy sources such as solar and wind, they may produce electricity when it is not needed in the grid without storage. The value of this electricity may be lower than if it was produced at another time, or even negative."