In this case, I think the personal details are relevant. The premise of this article raises the question, "Why him? Why resign? Why now?", which, if you're operating completely from the business/professional mindset, leads you to wonder if something is wrong in the Android shop.
But if he left because of an uncomfortable personal situation, then that is highly relevant to onlookers, because it removes unwarranted questions about the state of Android at Google.
But if he left because of an uncomfortable personal situation, then that is highly relevant to onlookers, because it removes unwarranted questions about the state of Android at Google.