
I am not botanic(-ian), so I would not know great details but, this, at least to me, looks like a picture from your ordinary secondary school textbook.
So, the question "What is the big deal?!". If you look at this close-view, it obviously is not one of the most beautiful flowers, even the about the fact the tree is fully covered in the cherry blossom, it is not alone. Neither, I believe, is it alone in category that it blossoms for a short period.
So ... Why? Now, here is my opinion:
May be (told like Will Smith to his son in "Pursuit of happiness") it has to do with the idea of Quality over Quantity as it does not stay for too long and thus is expected for some even with anxiety and also enjoyed, cherished and even loved. The law of economics(?) of scarce and in-need things being more valuable?

May be it has to do with both Quality and Quantity or the fact that the short period it is there happens so rapid and yet so full complete and full. Even from the moment the green buds come out on the branches till the simple-yet-magnetic-thus-amazing flowers blossom and then fall making the area around it beautiful with white, pinkish with "snow flakes". So from the moment it starts to appear until all is well and gone, one just cannot miss it.
Maybe the same thing can be applied to people's life:
May be what some people say about not wanting to live too long if one grows old and weak and especially if sick and need lots of care etc., That is, of course, regardless of what the children has to say.
May be that is another reason to enjoy simple and beautiful things in life when and while we still can. That must be what Confucius meant with "Be sure to stop and smell the flowers sometimes".
That must be why some people who could live a life really their own even if not very long, who went against all the odds, sometimes even including the people around themselves, stayed true to themselves, enjoyed what they were doing, and thus made changes for/to the people, lives around themselves are remembered, reminisced over sometimes when it is in fact too late, missed, and even expected to be born again.
Just like sakura
Quality and/or Quantity.
