Propane isn't a fossil fuel, it's a byproduct of fossil fuel processing/refinement, and understanding this matters. You can't mine or harvest propane like coal or petroleum because propane is not a fossil fuel. It's a byproduct. Once we stop using fossil fuels, propane will go away.
Propane has an extremely low GWP (global warming potential) compared to other refrigerants. Anyone who has a refrigerator, freezer, air conditioner, or heat pump, is using refrigerants. The most common refrigerants are R-22 (chlorodifluoromethane) with a GWP of 1810 (1810 times worse than CO2) and R-410a with an approximate, difficult-to-calculate GWP of 2088. There's also R-32 (difluoromethane) with a 100-year GWP of 675. Depending on who you ask, propane has a 20-year GWP of 0.072 and a 100-year GWP of 0.02, or a GWP of 3. In any case, that's WAY lower than what we're already using.
Probably the most ineffective way to attack fossil fuels is by attacking propane, while the most effective way to attack fossil fuels is to build wind and solar to make fossil fuels irrelevant. My rooftop solar produces over 200% of our usage, for example. That's a lot of coal my neighbors aren't indirectly burning.
We should very aggressively build wind, solar, and other renewables to replace fossil fuels. Until then, in the reality that we're living in, it would be harmful and kind of useless to attack propane.
BTW, do you want people burning more charcoal in their backyards? Because that's what they'll do if you snap your magic fingers and eliminate propane, and the fossil fuel industry will either put their fossil fuel byproducts into something else anyway or just release it into the atmosphere where it does its climate change damage. So you get the choice between: A) the current climate damage or B) the current climate damage and more.
But I agree it's embarrassing that people think so-called "natural gas" is renewable. That's almost surely in part because it has "natural" in the name, and that's why I support just calling it by its real name, which is methane.