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I think she showed herself as logical with emotion thrown in but deep down I think Earth is like a pebble in her shoe. It is that irritation to know she didn't win. That Earth didn't turn into what she wanted it to be and is still thriving thanks to the Rebellion. You also have to remember that if the Rose as Pink Diamond thing is correct than that means that she and the other Diamonds were betrayed and beaten. It would make them feel lesser and hit their image of not being "Perfect". Blue Diamond even seemed to be swayed by anger and irritation very quickly. They want Earth gone because it is a reminder of everything wrong that is tainting their star system. They could care less for anything on it and probably care even less than that because Rose cared so much of what was on Earth.