yes, as long as they have only switched it off via the box, which is standard procedure, (1) as you might change your mind or someone else may want to re-connect & (2) because it takes someone physically doing it, which costs money. this is why its always worth trying it before subscribing. i like your first option with the splitter as you still get full use of your v box & if your on a free package, why not get the benifit of both, if not you can always downgrade to one. its only worth cancelling your subscription if you don't have any other services with them & aren't bothered about having the on demand feachers for free.
hope this helps.