Yes, you are right for automatic processing. System understand that if you have not paid is that you do not want more. Point.
But I suppose you make a monthly payment? How do you manually manage a multitude of subscriptions for such short periods?
It's just my opinion, but it seems to me that you would have had the same consequence with any accommodation .... especially with very short pay periods ... You have no time to react in case of problem...
It's probably not the ideal plan for something as important, but how else to do it?