"We gain the ability to download programmes on the BBC iPlayer and watch them for 30 days. If there were no DRM, the holders of the rights to the content the BBC transmits would not allow the BBC to do that."
I call false dichotomy. Current terrestrial broadcasts have no DRM. By your argument there should be no commercially viable broadcast TV stations. Whoops!
Content is only licensed under DRM so that the non-savvy consumer is forced to buy the same content again and again, rather than pay a fair price in the first instance (not due to the stated belief of the license holders that it prevents piracy - it does not and it never has).
A DRM-free world would be different than it is now (slightly) and some would lose out hard (licensees who take the piss). But most would just carry on as normal, with costs reduced by not having to implement DRM bull-crap. Sure there would be piracy, but we still have piracy despite DRM.