The OP has an excellent point which you didn't address them: most methane in the atmosphere is from natural causes. When the amount due to humans is removed, the effect on heating is not very significant in comparison of our CO2 emissions.
Stated another way, the OP is warning against premature optimization focusing our energy on issues that are an order of magnitude away from the main process.
If this were a conversation about a C loop, we wouldn't be emotional about it and we'd could argue better (for example, methane production also releases green house gases)