I doubt it helps when they do shit that gets everyone hating on them
No, but they should be coherent and meaningful. These fools (or possibly goons for oil companies) who attack paintings are only making environmentalism look utterly stupid. They are openly mocked by everybody because they're lashing out incoherently.
They're actively working against environmentalism. I really think they're bad, selfish, narcissistic, and stupid people. They don't care about the environment.
There is absolutely no reason to think their ridiculous behavior could possibly help the environment.
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