The rotation should not be an issue as we have that functionality now and I just verified on my iPhone 5s that it works.
Do you perhaps have rotation locked on your iPhone? Which iPhone model are you using?
My iPad is stuck in portrait mode .. no matter how many times I twirl it. Frustrating.
I see you have several ipads registered on your account. Is there only one that is having this issue or are they all exhibiting this problem?
Not always. The appearance of the 'problem' is unpredictable.
When the problem appears could you describe for me what you need to do to "fix" the orientation to display correctly?