> Methane is indeed a potent greenhouse gas, but it doesn't last nearly as long as CO2 before it breaks down

Obviously, methane breaks down to CO2 but there is no need to state this when referencing methane emissions. The Global Warming Potential can be used to relate the magnitude of damage over a given time horizon, for methane over 100 years it has 34 times more global warming potential. Obviously you can take exception to some of the methodologies used to calculate these but in general it's better than leaving the impression that CH4 emissions aren't important.