WHAT DOES JUST STOP OIL WANT?
We demand that the UK government commits to working with other nations to establish a legally binding treaty to stop extracting and burning oil, gas and coal by 2030 as well as supporting and financing poorer countries to make a fast, fair, and just transition.
As the "non-proliferation" treaty they link to makes clear in it's very name and in the full explanation, they want to first limit unnecessary expansion.
https://www.fossilfueltreaty.org/about#about
> Develop the plan that would allow governments to stop building out the problem by ending the expansion of coal, oil and gas production
"First" sounds like the key word in that sentence. What do they want second, third, etc?
Your link says this: "An equitable plan for the wind down of existing fossil fuel production, where nations with the capacity and historical responsibility for emissions transition fastest, providing support to others around the world."
Which sounds a lot like "stop extracting and burning oil, gas and coal"