I don’t even know what “climate justice” means.
In leftist speak, “justice” doesn’t mean “consequences due to someone for a crime committed” but “implementing Communism.”
The word in front is meaningless and only is used to trick people who still speak English into thinking of the regular meaning of ‘justice’ and that some wrong has been committed.
E.g. racial justice, economic justice, social justice, climate justice, environmental justice.
Sardonically meme-makers write it as “just-us” since that’s the usual application — the leftists and elite reap privilege and spoils, and everyone else suffers.