It's funny that you're using the word "deserve". Based on whose moral framework? I'm not sure current moral frameworks on Earth would be against colonizing the Universe if it was possible.
Its not even about deserving it. How are going to maintain a terraforming project or build habitable orbital platforms if we can't manage keeping our natural habitat habitable?
distractions don't solve problems. "just do the projects" doesn't resolve the management issue anyway. the climate crisis is a result of our inability to coordinate mass actions on a planetary scale to avoid damaging our habitat.