As far as I understand streaming and renting are two unrelated businesses. On the surface, there is no good reason they should be tied to each other.
It one of the very basics of organizing corporations: If there is no synergy between different divisions then you should spin the company (at least Russel Ackoff is behind me on this).
On the other hand, having these two divisions together allows them to hedge off each other. If rentals get unpopular and everyone starts streaming then the business as a whole isn't in the red. So there might be good reasons to keep them together.. but I don't think it's a no-brainer.