If methane has bigger effect than the same amount of coal within C02 then your argument fails.
> While CO2 persists in the atmosphere for centuries, or even millennia, methane warms the planet on steroids for a decade or two before decaying to CO2.
> In those short decades, methane warms the planet by 86 times as much as CO2, according to the Intergovernmental Panel on Climate Change.
https://www.scientificamerican.com/article/how-bad-of-a-gree...
This is to say nothing other than that more nuance is needed when discussing the environment. It is important to reduce our emissions.
https://en.wikipedia.org/wiki/Greenhouse_effect#Greenhouse_g... https://en.wikipedia.org/wiki/Methane_emissions#List_of_emis...
(Of course, better still to leave it in the ground, if that's where your methane is coming from...)
Although methane is usually the largest component, natural gas is typically a mixture of methane, propane and butane. So not quite the came as cow burps.
Now, in a power plant context, modern gas plants are going to be more efficient and have better heat rates than their coal and oil equivalents, so you do generally need less total MMBtu input to get an equivalent amount of generation out. But if you’re burning the same amount in terms of energy content, the difference when it comes to only CO2 is not as large as you’re saying.