Those who actually do something to save the nature instead of throwing soup at paintings for media attention.

Interfere with the industry that it is trying to upset. Frustrating the customers does little to stop the supply/demand of the market so oil keeps being produced and used.

Disrupt oil production. Upset oil deliveries. Frustrate the oil users.

Those are the end objectives that will change how the world uses oil. Now the organization name makes sense - it's the start and sole cause of the movement. Now it can galvanize people to join by knowing the cause through a name that is a call to action. JSO does so much almost right that it feels like deliberate missteps each time JSO is in the news.

JSO can organize union drives to upset oil production. Rally the people behind it and the organization may see change from the inside. Or at least freak out the people in charge enough to see they need to change.

Dig troughs across oil access roads so maintenance crews can't get to rigs. Make the cost of running the business so high that the people making decisions have to start addressing the activity. Frustrate the business.

Throwing soup at an icon of culture does nothing to highlight the goals, rally support, or stop the offending action. It ONLY gives oil protests a bad name while being completely unhelpful at stopping oil.

They have never defaced a single piece of art.

Did they actually do that? They threw soup at a pane of glass.