Another interesting factor to consider is the residency time of the different gases. Methane breaks down fairly quickly, while CO2 needs to be sequestered, which is currently done quite slowly via biological processes. Methane is extremely bad in the short term, but measured over a long period (100 years) does in fact trap less heat.

However, we're not on a timeline where we can worry about 100 year effects. Our current warming trajectory will almost entirely destroy coral reefs in about 30 years, and estimates vary on the threshold for runaway effects (Methane calthrates, reduced primary production due to ocean acidification, etc) but the large majority of them are well below the 100 year threshold.

Tl;DR: Natural gas might cause less warming over a long period, but it causes more in the near term, and we're screwed if we don't fix things in the near term.

I bring up hydraulic fracking because it's the primary driver behind the renewed push for natural gas. The United States has suddenly become one of the most competitive producers of natural gas, so strong domestic forces are now lobbying for it.

The one application where natural gas does have a decent advantage is base-load grid energy generation. Renewables like wind and solar are variable, and we need controlled inputs with rapid responses to help integrate them into the grid. Gas turbines are the most responsive fossil fuel systems by a wide margin, so they serve a decent purpose there. This should only be viewed as a stop-gap until we develop grid-scale storage through EV networks and such though.