Good idea! 1+
For sure +1 by me too!
Moving this request to site feedback.
I just use Author Dashboard very often so I can check for comments, then I check statement or earnings using the tabs.
So for me it’s not quite as important as I always select Dashboard.
EDIT : I would like to see the second section gone and just click my username to get to my Dashboard.
But that’s just me, I guess.